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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
Are There Global Extrema for These Functions?
  • mathmari
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10
Undergrad Evaluate using Leibniz rule and/or chain rule
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4
Graduate A problem about branch cut in contour integral
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3
Undergrad Applying Chain Rule to a function of two variables
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3
205.o6.03 Find the body's displacement and average velocity
  • karush
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8
Undergrad Can the Complex Integral Problem Be Solved Using Residue Theorem?
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2
Undergrad Problem with this estimation lemma example
  • Jenny short
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5
206.r2.11find the power series representation
  • karush
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3
Is the series $\sum_{k=1}^{\infty}\frac{\arctan(2k)}{1+4k^2}$ convergent?
  • karush
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4
What is the growth rate of a differentiable function?
  • mathmari
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7
Undergrad How to find outer limit of integration for this triple integ
  • egio
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4
Undergrad Vector Calculus: What do these terms mean?
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11
Evaluating $\sum_{n=1}^\infty \frac{1}{2nx^{2n}}$
  • Greg
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7
Graduate Understanding Sobolev Norms: A Beginner's Guide
  • emmasaunders12
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9
Graduate How to Solve an Integral Equation Involving Exponential Functions?
  • Sunny29
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18
Solving $\lim_{{x}\to{0}} lnx \cdot x$: Overview & Proofs
  • tmt1
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1
High School What is the Inverse of a Differential Operator?
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4
Determining if integral converges or diverges
  • tmt1
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3
Using limits to solve an arithmetic problem?
  • tmt1
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4
Undergrad Angle at which cardioid hits the x-axis
  • Any Help
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2
W.8.7.23 int trig u substitution
  • karush
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3
Find max(abs(a)+abs(b)+abs(c)), and a possible f(x)
  • Albert1
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3
Finding Critical Point: x for y=3e^(-2x)−5e^(-4x)
  • Recce
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1
High School How come this natural logarithm approximation works?
  • Andreas C
  • · Replies 14 ·
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14
Undergrad Spivak's Definition of Integrals vs Stewart's
  • Simpl0S
  • · Replies 9 ·
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9
Is This Partial Fraction Decomposition Set Up Correct?
  • karush
  • · Replies 8 ·
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8
Graduate Frechet v Gateaux Derivative and the calculus of variations
  • observer1
  • · Replies 7 ·
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7
Undergrad Fnd the area A of the triangle with the given the vertices
  • Medtner
  • · Replies 8 ·
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8
Evaluating Definite Integral $I$
  • juantheron
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1
Undergrad Integration by Parts without using u, v
  • Sang Ho Lee
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2
Undergrad What are the solutions for 10 = (e^x)/x?
  • Tivet
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6
Divergence Test: Evaluating I$_{17}$ at $\tiny{206.8.8.17}$
  • karush
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5
Can Discontinuity and Non-Derivability Exist in Strongly Concave Functions?
  • mathmari
  • · Replies 16 ·
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16
206.8.5.49 Express the integrand as sum of partial fractions
  • karush
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2
Undergrad Can Differentiating a Simple Fraction Simplify Complex Integration?
  • garylau
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10
242.14.2. solve the initial value problem
  • karush
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11
What is g(x) in Terms of f(x): Distance Path Path
  • wheepep
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7
As for the question,How can I simplify (8x^1/2)/(x^2/3)]^1/3?
  • Alex6977
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5
Graduate Drawing Graphs with f(x): A Beginner's Guide
  • btb4198
  • · Replies 8 ·
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8
High School What is the integral of (x^2+x)/(2x+1) when split into manageable pieces?
  • Sua Lee
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2
Arc length & similar questions
  • fluffertoes
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4
Is the Series Convergent or Divergent?
  • tmt1
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1
205.q4.2 very painful Newton's Method
  • karush
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8
Evaluating Limit Using L'Hospitals Rule $\tiny{205.q4.1}$
  • karush
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Undergrad Directional derivative: identity
  • Waxterzz
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3
206.11.3.12 write the power series
  • karush
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7
Undergrad What happens in this step function?
  • garylau
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6
Limit of (n^2+n)^(1/2)-(n^3+n^2)^(1/3)
  • karseme
  • · Replies 4 ·
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4
How Do You Solve Related Rates Problems Involving Melting Ice?
  • tomc612
  • · Replies 5 ·
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5
So, the car takes approximately 8.43 seconds to travel 100 meters.
  • tomc612
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5
Undergrad How to logically derive the total derivative formula?
  • OmegaKV
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4
Find $F''(2): $$F(x)=∫_x^2 f(t)\,dt$$
  • Starrrrr
  • · Replies 6 ·
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6
Integral using trig substitution
  • tmt1
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1
206.11.3.27 first three nonzero terms of the Taylor series
  • karush
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2
Series Convergence Or Divergence
  • tmt1
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1
Need help on related rates problem
  • Austindick5
  • · Replies 1 ·
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1
Find General Form of Z & T: Newton's Law of Cooling
  • Recce
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3
206.11.3.27 Tayor series 3 terms
  • karush
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4
206.11.3.39 Find the first four nonzero terms of the Taylor series
  • karush
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5
206.11.3.11 Find the first four nozero terms of the Maciaurin series
  • karush
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7
Which test do we have to apply at each case?
  • mathmari
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6
How Does Water Depth Change as a Cone-Shaped Tank Empties?
  • Jenna97
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2
Undergrad Find potential integrating on segments parallel to axes
  • crick
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2
Undergrad Do time-dependent and conservative vector fields exist?
  • fog37
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11
High School Why can't a chain rule exist for integration?
  • Prem1998
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12
High School What is the formula for the length of the graph of e^x in the first quadrant?
  • Prem1998
  • · Replies 13 ·
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13
Undergrad Mathematical representation of probability
  • Timakki
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3
Undergrad Integral of f(x)*x: Is It Possible?
  • ddddd28
  • · Replies 11 ·
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11
242.13.3 Taylor remander formula
  • karush
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3
Approximating Functions with 3rd Order Taylor Polynomials
  • karush
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3
Undergrad Newton's method for approximating solutions of functions
  • stratz
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2
Undergrad Surface of revolution of a donuts
  • lila12345
  • · Replies 2 ·
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2
Find xf^7(x)''(0): Chain Rule Explanation
  • needOfHelpCMath
  • · Replies 3 ·
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3
Derivative: Simplifying an Equation
  • needOfHelpCMath
  • · Replies 2 ·
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2
11. 1.33-T nth order Taylor polynomials - - centered at a=100, n=0
  • karush
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4
How to Use Absolute Convergence Test on This Series?
  • karush
  • · Replies 5 ·
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5
Undergrad What is the role of Laurent series in solving limits at infinity?
  • MAGNIBORO
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6
Undergrad Gaussian integral in two dimensions
  • spaghetti3451
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2
Undergrad What Is the Derivative of cos(x) with Respect to 1/x?
  • flower321
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1
Undergrad Successive Integrals: Examining 1st Integral y_1(t)
  • SuperCat
  • · Replies 2 ·
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2
What is the more appropriate method to solve for the limit in this scenario?
  • Umar
  • · Replies 1 ·
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1
Taylor Polynomials for $e^{-4x}$ at $x=0$
  • karush
  • · Replies 2 ·
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2
Undergrad Centroid Problem Solutions: Integrate or Otherwise?
  • circuit232
  • · Replies 2 ·
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2
Find the limit as x goes to infinity
  • Umar
  • · Replies 5 ·
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5
Crank/Piston Motion: Understanding dB/dt, dB/dθ & d2B/dT2
  • tomc612
  • · Replies 6 ·
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6
Find the nth-order Taylor polynomials centered at 0, for n=0, 1, 2.
  • karush
  • · Replies 3 ·
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3
What is the Derivative of f(x) = 3xlnx?
  • airken1
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7
Undergrad Is the convergence of an infinite series mere convention?
  • pat8126
  • · Replies 31 ·
2
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31
206.11.1.12 quadratic approximating polynomial
  • karush
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2
Undergrad Infinite Sum of x/(z+y): Solving the Puzzle
  • johann1301h
  • · Replies 2 ·
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2
Undergrad Can Fourier Analysis Represent Any Function Using Sin and Cos?
  • LLT71
  • · Replies 7 ·
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7
Find the derivative of the antiderivative
  • Umar
  • · Replies 1 ·
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1
Graduate Convergence of an infinite series of exponentials
  • sumner
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6
Finding Approximate Critical Number with Newton's Method
  • PirateCat
  • · Replies 7 ·
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7
Undergrad Partial derivative of a total derivative
  • halley00
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3
S4.12.9.13 find a power series representation
  • karush
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5
Undergrad How Can Vector Field Simulation Differ Between Iron Core and Vacuum?
  • FelixTheWhale
  • · Replies 18 ·
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18
Can You Derive a Reduction Formula for the Integral $\int \sec^nx dx$?
  • lfdahl
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1
What is the area bounded by y = 8 – 2x - x^2 and the x-axis?
  • Noah1
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3
What is the substitution for the definite integral ∫202x(4−x2)1/5 dx?
  • Yousra1
  • · Replies 1 ·
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1