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Differential Equations

Mixed approximation vs. full approximation for a power series expansion
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Undergrad Mixed approximation vs. full approximation for a power series expansion
Graduate Questions on the fundamental theorems
  • Reshma
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5
Undergrad What is the rate of change for a spherical raindrop's radius as it evaporates?
  • jordanfc
  • · Replies 4 ·
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4
Undergrad Differentiation problems involving trig functions
  • cscott
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10
High School Can someone verify my answer for the problem in my post below
  • kendal12
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4
Undergrad Precision in Calculations: The Importance of Using Averages Accurately
  • Maria Meister
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2
Undergrad Proving $\lim_{n \rightarrow \infty} \frac{n!}{n^n} = 0$ - Tutoring Maths Resits
  • Zurtex
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5
Undergrad Runner A & B Paths Cross: Displacement of B from Flagpole
  • AdnamaLeigh
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4
High School What does delta mean in calculus limits?
  • kendal12
  • · Replies 7 ·
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7
Graduate Does the Leibniz Integral Rule Apply to Time-Dependent Integrals?
  • mcah5
  • · Replies 5 ·
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5
Graduate Integration by Parts in Several Variables
  • amcavoy
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3
Graduate KONWhat is the solution to the functional equation f(x,y)=g(r(x)+h(y))?
  • eljose
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2
Undergrad Partial Fractions: (5x^4-6x^3+31x^2-46x-20)/(2x^5-3x^4+10x^3-14x^2+5)
  • deryk
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3
Undergrad Proving Induction Formula with Calculus - Maximilian
  • dustwave
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2
Undergrad Help with triple integration problem
  • mister_okay
  • · Replies 4 ·
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4
Undergrad Find the Ideal Width for a Rectangular Vegetable Garden
  • orangeSLICE
  • · Replies 10 ·
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10
Undergrad Integral Substitution: Can We Factor in Derivatives to Make Integration Easier?
  • dx/dy=?
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7
Undergrad Differentiating Trig Identities: Example
  • cscott
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4
Undergrad What is the Importance of Infinitely Differentiable Functions in Mathematics?
  • Ratzinger
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2
Graduate (e^ix)^n=(e^ixn) & Trig identities
  • complexhuman
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4
Graduate Calculating Limit: \lambda^t/k with 0<\lambda<1
  • phonic
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2
Undergrad Integral problem question (energy and momentum)
  • Yura
  • · Replies 2 ·
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2
What is a Parity-Sign Function?
  • Orion1
  • · Replies 2 ·
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2
High School How do you calculate e^h if h=ln(absolute x)?
  • asdf1
  • · Replies 21 ·
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21
Undergrad What is the integral of 0 for infinite iterations of 3?
  • mathelord
  • · Replies 27 ·
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27
High School Creating a Function with Changing Variable Values for Precise Results
  • hynpf
  • · Replies 6 ·
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6
Undergrad Standard answer for integral of cos(2deta)cos(ndeta)
  • stan
  • · Replies 2 ·
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2
Why Did Euler Choose 'e' for His Famous Chain Theorem?
  • Orion1
  • · Replies 8 ·
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8
Graduate Is There a Point of Equilibrium in a Game with No Winners?
  • eljose
  • · Replies 2 ·
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2
Undergrad Leibniz Notation: Understanding Derivatives
  • Severian596
  • · Replies 14 ·
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14
Graduate Gaussian Integral Using Residues
  • ghotra
  • · Replies 3 ·
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3
High School Solving for x: sqrt(x^2-x-10) = 10 + sqrt(x^2-11x)
  • martinrandau
  • · Replies 2 ·
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2
Undergrad Problems while reading a mathematics books
  • VietDao29
  • · Replies 12 ·
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12
Undergrad Simple absolute value problem with inequalities
  • complexhuman
  • · Replies 6 ·
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6
Undergrad Trouble with the following limit
  • devious_
  • · Replies 5 ·
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5
Graduate Finding Optimal Angle for Max Range of Cannonball
  • bomba923
  • · Replies 4 ·
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4
Graduate Can Integral Equality Solve for Real Values in Complex Integrals?
  • eljose
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2
Graduate Is the Complex Inequality with Gamma Functions Valid for Any b?
  • eljose
  • · Replies 3 ·
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3
Graduate Expansion for Tan x about Pi/2
  • ghotra
  • · Replies 8 ·
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8
Undergrad Solving Limits & Integrals with L'Hopital's Rule
  • broegger
  • · Replies 18 ·
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18
Graduate Solving the Elliptical Integral Using Stoke's Theorem
  • daftjaxx1
  • · Replies 2 ·
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2
Undergrad Explain: As x Approaches 0, Sinx/x & Tanx/x
  • Wiz
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3
Graduate Can the Definition of Derivative be Extended to Functions from R^n to R^m?
  • PBRMEASAP
  • · Replies 23 ·
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23
Undergrad Paramet. eqn. of traject. w/ s&w gravity
  • shoopa
  • · Replies 2 ·
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2
Graduate Some clarifications on my proving
  • relinquished™
  • · Replies 6 ·
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6
Graduate Infinite Set S w/ Least Upper Bound & Acc. Point - Example?
  • irony of truth
  • · Replies 7 ·
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7
Undergrad Defining Maximum and Minimum Functions for Common Domains
  • irony of truth
  • · Replies 9 ·
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9
Graduate Is this theorem valid for any base and function?
  • Orion1
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2
Undergrad Which Books Explain Calculus Intuitively?
  • εllipse
  • · Replies 20 ·
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20
Undergrad Solve Equation: (Integral) e^2x*e^x(3sin2x+2cos2x)dx
  • asdf1
  • · Replies 6 ·
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6
Graduate If x is an accumulation point of set S and e >0
  • irony of truth
  • · Replies 4 ·
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4
Graduate Need help with numerical integration
  • undefined83
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2
Graduate Solve Integral: \frac{(1-x)}{x^2}e^{x-1} dx
  • jeanf
  • · Replies 2 ·
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2
Undergrad Advanced Multivariable Calculus Textbooks: What Are Your Recommendations?
  • Nusc
  • · Replies 14 ·
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14
Undergrad Finding the Height Function for y=\frac{-1}{X^2} + 4
  • bayan
  • · Replies 4 ·
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4
Undergrad Evaluate Integral: sinπ(k/2) with k = 1 to 6
  • dx/dy=?
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3
Graduate What is the Convergence of the Integral for this Sequence?
  • Theraven1982
  • · Replies 2 ·
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2
Graduate Cours d'Analyse Mathématique: Problems Too Challenging?
  • mruncleramos
  • · Replies 15 ·
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15
Graduate How can we use the chain rule to find the tangent to parametric curves?
  • Cyrus
  • · Replies 14 ·
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14
High School How to Evaluate Trig Integrals and Simplify with Trig Identities?
  • dx/dy=?
  • · Replies 6 ·
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6
Graduate Limits with respect to different norms
  • Manchot
  • · Replies 16 ·
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16
Undergrad How to Prove the Area Between Two Curves with Integration Algebra?
  • bayan
  • · Replies 9 ·
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9
Graduate Integral \int_{1}^{\infty} \frac{1}{n^2+x^2}dx
  • Theraven1982
  • · Replies 11 ·
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11
Graduate Functional Analysis problems need checking
  • Oxymoron
  • · Replies 13 ·
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13
Undergrad Mastering the e^x Integral: Tips and Tricks from Eiano
  • Eiano
  • · Replies 21 ·
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21
Undergrad What happens when we raise a number to a non-integer power?
  • GravitatisVis
  • · Replies 18 ·
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18
Undergrad How Should Partition Points Be Chosen for Different Integral Calculations?
  • siddharth
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3
Graduate How to Show that Coefficients of a Power Series for tan(x) are 0 for Even n
  • complexhuman
  • · Replies 2 ·
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2
Graduate A question implying Ganma function
  • eljose
  • · Replies 2 ·
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2
Graduate Zeta(2) = pi^2/6 and zeta(4) = pi^4/90 what is zeta(3)?
  • murshid_islam
  • · Replies 4 ·
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4
Graduate A question about improper integrals
  • saltydog
  • · Replies 13 ·
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13
Graduate What is the symbolic condensed version of Equation 2?
  • Orion1
  • · Replies 4 ·
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4
Undergrad How to Use Integration to Find the Volume of a Rotated Function in Mathematica
  • bayan
  • · Replies 3 ·
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3
Graduate Prove by Beta and Sigma limit definition
  • kidia
  • · Replies 3 ·
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3
High School Excellent *teachyourself* Calculus books?
  • r3dxP
  • · Replies 5 ·
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5
Undergrad Mean Value Theorem: Proving Inequalities with f'(x)
  • kidia
  • · Replies 4 ·
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4
Graduate Can Lagrange Multipliers Avoid Meaningless Critical Points in Optimization?
  • Cyrus
  • · Replies 11 ·
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11
Graduate Solving a Tricky Integral Problem
  • melknin
  • · Replies 11 ·
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11
Graduate How can I prove the nested intervals theorem using a proof by contradiction?
  • irony of truth
  • · Replies 4 ·
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4
Undergrad Using the concept of finite difference
  • irony of truth
  • · Replies 7 ·
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7
Undergrad What Happens to z When Taking the Derivative of a Surface Equation?
  • Cyrus
  • · Replies 11 ·
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11
Graduate Proving Integrals and Series: A Generalization?
  • amcavoy
  • · Replies 2 ·
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2
Graduate Contour Integral with Branch Cut
  • cjellison
  • · Replies 7 ·
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7
Graduate Vanishing of a cyclic integral the property of a state function?
  • asdf1
  • · Replies 2 ·
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2
Undergrad Lim(x->inf) of ((x+a)/(x-a))^x = e
  • techtown
  • · Replies 4 ·
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4
Graduate Mean Value Theorem for Nonlinear Equations in R^n
  • steffka
  • · Replies 4 ·
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4
Undergrad Improper integral + Maclaurin series problem
  • mikeXXL
  • · Replies 2 ·
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2
Undergrad Is the Use of h Confusing in the Directional Derivative Proof?
  • Cyrus
  • · Replies 13 ·
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13
Undergrad How Does the Mathematical Function of Time Affect River Depth?
  • bagpiper
  • · Replies 3 ·
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3
Undergrad Is This Derivation of the Function Correct?
  • Wingman
  • · Replies 3 ·
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3
Undergrad Why Can't Integration Variables Be Interpreted Using This Method?
  • Orion1
  • · Replies 7 ·
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7
Graduate Integral dx/sqrt(x - a)integral dx/sqrt(1/ax)
  • rebeka
  • · Replies 5 ·
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5
Graduate How Does the Limit Sum Integer Method Solve Integral Calculations?
  • Orion1
  • · Replies 3 ·
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3
Graduate Another Volume of Integration Problem
  • RadiationX
  • · Replies 12 ·
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12
Graduate Are These Second Derivative Theorems Correct and Simplifiable?
  • Orion1
  • · Replies 4 ·
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4
Graduate FTC & Dummy Variable: Understanding the Necessity
  • Cyrus
  • · Replies 16 ·
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16
Graduate Limit of (x e^x) / (x^x *x^1/2)
  • roger
  • · Replies 8 ·
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8
Undergrad What is the derivative of a modulus function?
  • Zurtex
  • · Replies 4 ·
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4
Undergrad Antiderivative of 1/sqrt(lnx - c)
  • rebeka
  • · Replies 14 ·
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14
Undergrad How much work is required to empty the tank?
  • unggio
  • · Replies 3 ·
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3
Graduate Volume of a Region bounded by two surfaces
  • RadiationX
  • · Replies 3 ·
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3