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Differential Equations

Mixed approximation vs. full approximation for a power series expansion
6.8K threads
Undergrad Mixed approximation vs. full approximation for a power series expansion
Graduate How fast does convergence have to be
  • gottfried
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Graduate Can we Prove \lim_{n→∞}S_{n-1} = L Given \lim_{n→∞}S_{n} = L?
  • Bipolarity
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Graduate Fourier Series and Energy Density
  • chief10
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10
Graduate How Do You Calculate Error Bounds for Maclaurin Polynomial Approximations?
  • chief10
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Undergrad How to Integrate e^(1/x)?
  • iVenky
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Graduate Would this require a Taylor Series Proof
  • Bachelier
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Graduate Referring to proved lim of the function.
  • A Dhingra
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Graduate Complex analysis - Louvilles Theorem (I think)
  • jrp131191
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Undergrad How does one integrate a quotient?
  • James2
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4
High School Does a horizontal line have horizontal asymptotes?
  • Esoremada
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Graduate Integral over spherical Bessel function
  • hmhm696
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4
High School How to Integrate x/(x+2)?
  • Redoctober
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Undergrad When to use Gen. Fourier, F.Sine, F.Cos, and Laplace Transforms
  • orangesun
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High School How do I figure out how much water force is needed to push how much weight?
  • pickerguy
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Undergrad Why Is the Derivative of sin(ax²) Equal to 2axcos(ax²)?
  • wahaj
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Undergrad Questions Regarding Definition of One-to-One and Onto Functions?
  • RadiantL
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Undergrad Why can't the indefinite integral be written with sigma notation?
  • hddd123456789
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Undergrad So with the equation MU=ln(C1)+ln(160-1.1C1) the derivative is
  • surferbarney0729
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Undergrad Integration in two different coordinate systems
  • Undoubtedly0
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4
Graduate From a fraction with infinite sum in denominator to partial fractions?
  • megzaz
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Compute the circulation of F along C
  • Uniman
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3
Undergrad Infinitesimals in integration vs delta x in summations
  • MrMultiMedia
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2
What went wrong when applying the FTOC to maximize arc length?
  • MarkFL
  • · Replies 2 ·
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2
Approximating Areas under Curves
  • alane1994
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2
Undergrad Implicit Differentiation, chain rule, and simplifying
  • James2
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2
Undergrad Hyperbolic cosine looks like a parabola
  • Mathguy15
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2
Undergrad Matrix Multiplication and sigma notation
  • Bashyboy
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5
Graduate Complex inversion formula (branch cut issue)
  • jrp131191
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5
Graduate Can the Dirac Delta Function be Applied in Curved Space?
  • friend
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Graduate Integration with Eulers formula.
  • cragar
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Undergrad Points in 3D space (Related to Calculus)
  • Vodkacannon
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4
*find coefficients of cubic f(x) given min max & inflexion pt
  • karush
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Undergrad Visualizing Integration as Summing Over a Variable
  • pamparana
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2
Graduate Second derivative composite function
  • aliekor
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5
Undergrad Using complex numbers for evaluating integrals
  • genjix
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4
What is the connection between roots of f and g using Rolle's Theorem?
  • Tomp
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Graduate Why rotate Beukers's 0th integral to calculate zeta(2)?
  • inkliing
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Graduate Understanding the Limit of a Function Definition
  • A Dhingra
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5
Graduate Numerical Integration of Double integrals
  • ruzfactor
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5
What is the method for integrating 1/(1+x^n) using roots of polynomials?
  • juantheron
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Graduate Why Is Leibnitz Rule Applied This Way?
  • X89codered89X
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Undergrad Trying to find the area between two curves
  • Triathlete
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2
Graduate Why Aren't Partial Derivatives Written with Respect to Composite Variables?
  • demonelite123
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9
Graduate How do I sum up a Taylor series with unusual coefficients?
  • Xarx
  • · Replies 14 ·
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14
Undergrad How to Factor Constants Out of Trigonometric Integrals?
  • mattyc33
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7
Graduate Finding Inverse the Function of multiple variable functions
  • BrainHurts
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8
Graduate Why is dx/dt*(\delta x*dx/dt) equal to 1/2\delta(dx/dt)^2?
  • Gloyn
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4
Integral $\displaystyle\int \frac{1}{\sqrt[4]{1-x^4}}dx$ Solution
  • juantheron
  • · Replies 9 ·
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High School Simplify the expression (need hint)
  • Kifsif
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2
Can You Spot the Error in This Calculus Problem Solution?
  • DeusAbscondus
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Maximizing Volume of a Rectangular Prism: Can't Get Optimum Value for $x$
  • DeusAbscondus
  • · Replies 4 ·
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4
Using integration find the volume of cutted cone
  • Amer
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1
Undergrad Understanding Transfer Functions in ODEs
  • incognitor
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1
Distance between a line and a point
  • Amer
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2
Undergrad Don't understand convergence as n approaches infinity
  • Mathguy15
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3
Graduate Derivative of a function involving square root of sum of squares
  • onako
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6
Undergrad Help required to differentiate a function.
  • CrazyNeutrino
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10
We have y''(t)=B x y'(t), where y:R->R^3
  • Poirot1
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Undergrad Converting 2D density (circle) to 3D density (sphere)
  • Jimbo2
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Undergrad Questions regarding Taylor series
  • 11thHeaven
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4
Graduate Partial derivative with respect to a function, rather than variable?
  • la6ki
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5
Trig identity problem embedded in chain-rule myopia
  • DeusAbscondus
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Undergrad Calculus derivative of given function vanishes at some point between a and b
  • tachyon_man
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Continuity of f(0): Does It Exist?
  • Chipset3600
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How is the parital derivative (even in Leibniz notation) ambiguous?
  • find_the_fun
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Does sinx < x hold true for all positive values of x?
  • Amer
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1
Prove that lim sin(x)/x = 1 as x goes to 0(Epsilon delta )
  • Amer
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1
Undergrad Polar Integration: Find Out Which Form is Correct & Can it be Area Integration?
  • ruzfactor
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7
Graduate Definite double integral of e^x^2
  • dobedobedo
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5
Any reason why this kind of problem is so hard?
  • DeusAbscondus
  • · Replies 12 ·
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12
Graduate Integral Problem: Calculating f_1^e
  • bugatti79
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1
Epsilon-Delta proof for continuity of x^3 at x=1
  • Tomp
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2
Factoring Difficulties: Derivative of $(3x+1)^2(2x-3)^3$
  • DeusAbscondus
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2
Undergrad Need help understanding Lagrange multipliers at a more fundamental level.
  • smize
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3
Undergrad Limit Comparison Test: Does Order Matter?
  • Eats Dirt
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1
Undergrad Local Extrema of Functions Exhibiting Self-Similarity
  • moonlitdawn
  • · Replies 3 ·
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3
Graduate Visually Representing Complex Derivatives
  • TheRainmaker
  • · Replies 3 ·
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3
Graduate Limits of Functions: Understanding Real Numbers & Symbols
  • Artusartos
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6
Graduate Is it possible to let limit multiplication rule not be exist?
  • rfrederic
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3
Graduate Is Substituting sinx/lnx Legal?
  • romsofia
  • · Replies 1 ·
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1
Graduate Detecting Intersections of Functions: Is There a Foolproof Method?
  • Physt
  • · Replies 1 ·
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1
Undergrad Significance of the third derivative
  • Bipolarity
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8
Graduate Taylor expansion of a vector field
  • Trifis
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5
Undergrad Confirming an Inequality: Seeking Help
  • Square1
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1
Undergrad How is the differentiation of a vector sum performed?
  • FOIWATER
  • · Replies 2 ·
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2
Integrate Poisson Kernel: Complex Integration/Residue Theory
  • Dustinsfl
  • · Replies 12 ·
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12
Graduate Difficult derivative involving vectors and trig
  • Tornam
  • · Replies 1 ·
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1
Undergrad What is the derivative of ln(u)^k?
  • silvershine
  • · Replies 4 ·
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4
Solving a Fun Problem: Region Within a Square
  • MarkFL
  • · Replies 9 ·
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9
High School Why do functions have holes and asymptotes?
  • gokuls
  • · Replies 1 ·
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1
Graduate Help Solving Integral Relevant to Sterman-Weinberg Jets in QFT
  • eoghan
  • · Replies 1 ·
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1
Integral of $\frac{1}{(3+4\sin x)^2}dx$
  • juantheron
  • · Replies 2 ·
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Find the Volume of Rotated Shaded Region Bounded by y=x^2+1, y=5, and y-axis
  • lilukelay
  • · Replies 1 ·
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1
Newton's method of approximation
  • DeusAbscondus
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8
Graduate How can I generalize the derivative of a reciprocal function?
  • Aspiring
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8
Undergrad Differential Equations - What is the Meaning of dy/dx?
  • Physics-Pure
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19
Undergrad Findind Area element in Cylindrical Coordinate System
  • chessmath
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2
Undergrad Do I Need to Convert Theta to Radians for Taking the Derivative?
  • jonesyxd
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Graduate Prove the case r= -n (n is a positive integer)of the general power rule
  • tachyon_man
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Undergrad What Happens to x^i as x Approaches 0 from the Positive Side?
  • hddd123456789
  • · Replies 5 ·
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