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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
Maximizing Renewable Energy: Solving for 80% Consumption by 2050
  • Phatasmagorick
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Evaluating $\displaystyle \lim_{{x}\to{2}} f(x$): Does it Exist?
  • Joel Jacon
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Left hand and right hand limit at infinity
  • Joel Jacon
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5
Undergrad Can the Simpsons 3/8 Rule be Extended to Calculate Double Integrals?
  • DivergentSpectrum
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4
Graduate How to Normalize the Quantum Harmonic Oscillator Wave Function?
  • 21joanna12
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Undergrad What are the Best Online Resources for Practicing Calculus?
  • phion
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Graduate Differentiate x to a complex power?
  • dyn
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10
Change of Variable: Physics Math in GR Problem
  • topsquark
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2
Undergrad Trying to self-learn calculus but stuck on this idea
  • iwantcalculus
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10
High School The Difference Between Log and Ln
  • basty
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7
Finding Formula without using any trig functions
  • khuangg
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4
Series Expansion & l'Hopital's rule
  • stuart4512
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1
What is the limit of the sine function as x approaches 1?
  • Yankel
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3
Trigonometric absolute value integral
  • jacobi1
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3
Graduate Why is this way of computing imaginary arctangents wrong?
  • David Carroll
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2
Undergrad Computing a Series Sum: n2 + (r-1)2 to n2 + (n-1)2
  • andyrk
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Graduate Physical interpretation of divergence
  • nayanm
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6
Graduate Separation of variables technique
  • PhyAmateur
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6
Limit in Infinity: Check Results Now
  • Alexstrasuz1
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2
Undergrad Use of substitution for integration
  • Supernova123
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4
Solve Limit at Infinity Problem: Tips & Help
  • Alexstrasuz1
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9
High School Who Coined the Term "Improper" Integral?
  • sbcdave
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3
Graduate Solving 1st Order PDE: Finding L with Ax^2 Form
  • PhyAmateur
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4
How Do You Evaluate and Differentiate Complex Trigonometric Functions?
  • Ivan1
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5
High School Integration Constant in Physics: When to Use It?
  • gracy
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6
Derivative of function containing absolute value
  • find_the_fun
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7
Undergrad Is the Alternative Method for Integration by Parts Simpler?
  • DivergentSpectrum
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Undergrad A strange derivative-integral discrepancy
  • ELB27
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3
Graduate Second Order Derivative Notation (mingled with)
  • BHL 20
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19
Volume of Solid Rotated Around y=-4 for y=x^7, y=1, and y-axis
  • WDGSPN
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12
Graduate What is the error analysis for a function of Newton's cooling law?
  • dziech
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6
Difference quotient for quadratic function
  • zolton5971
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6
High School Why Is N Considered a Constant in Summation Notation?
  • CookieSalesman
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1
How to Calculate Arc Length for a 124° Angle in a Circle?
  • zolton5971
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3
High School How to Prove the Trigonometric Identities for Sin and Cos of A+B?
  • basty
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1
Having Trouble with Boundaries for Triple Iterated Integrals?
  • ctb94
  • · Replies 6 ·
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6
Finding area between 2 functions
  • tmt1
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1
High School Why Does \(\sin^2(nx) + \cos^2(nx) = 1\) Hold True?
  • basty
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5
Undergrad Maximum/minimum through logarithm
  • Bipolarity
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4
Graduate Solve Integral Analytically: Int[(1+x^2)^-n e^-x^2]dx
  • matt_crouch
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1
Finding Area between 3 functions
  • tmt1
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2
Finding Area between 2 functions
  • tmt1
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1
Undergrad Confusion with Relative Extrema and Intervals
  • Jazz
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7
What is the area between the functions $y = |2x|$ and $y = x^2 - 3$?
  • tmt1
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2
Solving Lagrange Multipliers: Find Extrema of Distance from (1,2,3) to Sphere
  • ctb94
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7
Integral Calculus Help - Differentiating e^(-bx^2)
  • clumps tim
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1
So, the area between the two functions is 72 units squared.
  • tmt1
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1
Vector Calculus - Cylindrical Co-ordinates
  • RigB
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1
Undergrad Subtracting functions on specified domains
  • 2thumbsGuy
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5
Undergrad Splitting up an interval of integration
  • "Don't panic!"
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4
Graduate Evaluating this particular integral
  • thelibertine1
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3
Graduate How to limit processing demand simulating electromagnetic trajectory
  • DivergentSpectrum
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7
Undergrad Question about substitution method in integration
  • kelvin490
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11
Graduate Continuity and differentiability in two variables
  • wavingerwin
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1
Can You Evaluate This Definite Integral with Trig Functions?
  • anemone
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4
Matrix Rotation Query: Inertia Tensor D (+90y, -90z)
  • bugatti79
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1
Is $\sin^2 x$ Less Than $\sin x^2$ for $0 \leq x \leq \sqrt{\frac{\pi}{2}}$?
  • anemone
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5
Elementary Calculus Problem involving Derivatives
  • kierlain
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2
Graduate Inverse Laplace transform. Bromwitch integral
  • LagrangeEuler
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2
Undergrad Integral of a vector with respect to another vector.
  • Ludwig
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Graduate Functional relation and implicit functions
  • trap101
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2
Undergrad Directional derivative and gradient definition confusion
  • thegreengineer
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6
Undergrad Can someone explain this summation definition to me?
  • CookieSalesman
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4
High School Integration in Calculus: Understand What It Is
  • ubergewehr273
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5
Graduate Squaring an Integral of a function
  • occh
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6
When taking the limit at infinity, is this allowed?
  • find_the_fun
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2
Graduate Surface integrals/Surface areas of arbitrary domain regions
  • PhysicsKid0123
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3
How can we prove the derivative inequality for f(x)=sin(x)/x?
  • Fallen Angel
  • · Replies 3 ·
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3
Limits of Rational Functions: Dividing by Highest Power?
  • Yankel
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1
Evaluating Limit: $$\sqrt{x+\sqrt{x+\sqrt{x+\sqrt{x}}}}-\sqrt{x}$$
  • Maged Saeed
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9
Graduate What Is the Solution to Associated Legendre Polynomials for m=1 and l=1?
  • bvol
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4
Graduate If g is diff'able at x_0, g(x) <= mx + b, show g'(x_0) = m
  • rayge
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1
Understanding Infinite Sequences: Difference of 1 & n/(n+1)
  • find_the_fun
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1
Undergrad Dv/dt must be a RATIO and here is why
  • christian0710
  • · Replies 13 ·
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13
Graduate Contour integral with a pole on contour - justification?
  • MayCaesar
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2
When Can We Determine if a Limit Exists or Not in Calculus?
  • find_the_fun
  • · Replies 3 ·
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3
Graduate Curious definite integral : sine integral times exponential
  • hmiamid
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1
Graduate Does the Generalised Laplacian satisfy a certain relation?
  • spaghetti3451
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1
Undergrad Is this function x/sinx continuous?
  • DrunkenPhD
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6
Undergrad Why do -pi/2 and pi/2 Equal 1 and 5 in This Integral Problem?
  • basty
  • · Replies 7 ·
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7
Undergrad Approximating this integral with midpoints
  • CookieSalesman
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1
Undergrad Sum of ordinates mean value of functions
  • Appleton
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2
Graduate Poisson equation with three boundary conditions
  • azzaz
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3
Undergrad Solving for Sin(π/12): How Do I Get (π/3-π/4)?
  • Markg1997
  • · Replies 3 ·
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3
How Do You Integrate y^3 Over a Triangle with Given Vertices?
  • ineedhelpnow
  • · Replies 10 ·
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10
Double & Triple Integrals: Same Solution?
  • ineedhelpnow
  • · Replies 2 ·
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2
Finding distance between vectors
  • Drain Brain
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3
Undergrad An example need to be turned into an integral
  • vemvare
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3
Tangents at the pole (polar)
  • Amad27
  • · Replies 8 ·
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8
Expressing sin/cos(2θ) in terms of x....
  • TrigEatsMe
  • · Replies 1 ·
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1
Index Notation Proof: Proving $\nabla\cdot\left(\phi\textbf{u}\right)$
  • SamJohannes
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3
Graduate How do I account for a Jacobian when changing coordinates for two particles?
  • UVCatastrophe
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1
Undergrad Finding this volume without cylindrical shells
  • member 508213
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1
Graduate Limit epsilon-delta definition vs. continuity
  • TadeusPrastowo
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5
Graduate Is There an Error in Kolmogorov and Fomin's Trigonometric Inequality Proof?
  • DavideGenoa
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2
Graduate Curious definite integral : sine integral times exponential
  • hmiamid
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1
Graduate Expanding a multivariable function in powers of one of the variables?
  • Summetros
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1
Determine the Average Rate of Change
  • eleventhxhour
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3
Evaluating Definite Integrals with Floor Function
  • juantheron
  • · Replies 1 ·
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1
Optimization problem on function
  • juantheron
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3