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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
Is switching the order of integration helpful in evaluating double integrals?
  • harpazo
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Undergrad Integration over something with addition in denominator
  • Xilor
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13
How Do You Calculate the Limit of 3sin(5x)/sin(3x) as x Approaches 0?
  • Aychetown
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Graduate How to solve this partial derivative which includes a summation?
  • JERRY-thechuha
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6
High School Why is Δv Replaced by du/dx in Series Expansion?
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Undergrad Finding the sum of heights under a curve
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3
Undergrad Why is tan(Θ) equal to dy/dx for small angles?
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9
Graduate Impossible Curl of a Vector Field
  • laplacianZero
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7
Undergrad Finding Area of Graphs with x^2: A General Solution?
  • Brage Eidsvik
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5
Solution to Infinite series for E^(n^2x)
  • IanM
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2
Undergrad What's the name of this series?
  • puzzled fish
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7
Solving Exercise - Proving f(1 + w) > f(1) + w*f(1)
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1
High School Fourier series of a step function
  • chikou24i
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5
Undergrad Critical points for difficult function
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6
Undergrad Integrating a curve of position vectors
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4
Graduate How to get this result for this integral?
  • ShayanJ
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2
Minimum of function under constraint
  • mathmari
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10
10.8.3 Find the Taylor polynomial
  • karush
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3
Graduate Deriving functions relating to condition numbers
  • mabelw
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1
Undergrad Power series - Different problem
  • Neon32
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3
What is the total area of the infinite number of inscribed squares?
  • lfdahl
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3
Undergrad Absolute Power Series: Questions & Solutions
  • Neon32
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5
High School Can f(x) and f'(x) both approach a non-zero constant?
  • Saracen Rue
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12
Undergrad Absolutely convergent/Conditionally convergent/Divergent
  • Neon32
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8
Graduate Integral in terms of Gamma functions
  • ShayanJ
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6
High School Implicit differentiation or just explicit?
  • Debaa
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2
High School Is the derivative of a function everywhere the same on a given curve?
  • Debaa
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9
High School Asymptotic Function: Definition & Integration
  • Debaa
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2
What are the steps for solving a problem using Lagrange Multipliers?
  • harpazo
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9
Finding Extrema with Lagrange Multipliers
  • harpazo
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9
Undergrad Higher Level Derivative Notation
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3
Insights The Pantheon of Derivatives - Important Theorems (V)
  • fresh_42
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2
Undergrad Divergence/Convergence for Telescoping series
  • Neon32
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10
If y = tan inverse (cot x) + cot inverse (tan x)
  • rahulk1
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3
Undergrad Find Cauchy Principal Value of Improper Integral
  • Mr Davis 97
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10
Boat B Must Head 56.4° South of West
  • markosheehan
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6
Are the critical points minima or maxima?
  • mathmari
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4
Undergrad Telling whether an improper integral converges
  • Mr Davis 97
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3
Calculating the First and Second Derivative of a Twice Differentiable Function
  • mathmari
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2
Calculating the Slope of the IS-curve - Hint Included!
  • mathmari
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4
Undergrad Solving a definite integral by differentiation under the integral
  • Mr Davis 97
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1
If y = sin inverse (x square + 2x) find dy/dx
  • rahulk1
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3
-z.54 find the radius of convergence
  • karush
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3
Undergrad Is the Pole at u=2 Integrable?
  • junt
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6
If y=sin5 + log base 10 x+ 2 sec x find dy/dx
  • rahulk1
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7
No problem, happy to help! (Glad to hear it)
  • mathmari
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2
Insights The Pantheon of Derivatives - Lie Derivatives And Others (IV)
  • fresh_42
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5
Find Differential Coefficient of Root 2 Sin x + 4x^5 -3/x^4
  • rahulk1
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3
Undergrad How Can We Simplify Evaluating the Improper Integral of Logarithmic Functions?
  • Mr Davis 97
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10
Undergrad Heavyside step function chain rule
  • Black_Hole_93
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2
What is the geometric description of a set of vectors in $\mathbb{R}^2$?
  • mathmari
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6
Undergrad Arc Length Parameterization for Unit Circle: Cos(s) & Sin(s)
  • rabbed
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3
Undergrad Evaluating improper integrals with singularities
  • Mr Davis 97
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6
How to find the value of f'(x) at c
  • rahulk1
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5
Insights The Pantheon of Derivatives - Sections, Pullbacks And Pushforwards (III)
  • fresh_42
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3
Converging Series: Tests & Tips for Finding Solutions
  • marky1
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1
Does the Series $\sum_{n=2}^{\infty} (-1)^n \frac{4}{5\ln{n}}$ Converge?
  • karush
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1
Undergrad Does the Tail of a Convergent Series Also Converge to Zero?
  • DaniV
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3
Radian Measure: Show Cone Surface Area is $\pi rl$
  • Sherlock16
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1
Insights A Continuous, Nowhere Differentiable Function: Part 2 - comments
  • jbunniii
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2
Insights The Pantheon of Derivatives – Manifolds And Vector Fields (II)
  • fresh_42
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7
Does the Series Converge Absolutely, Conditionally, or Diverge?
  • karush
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Find Absolute Extrema Over Region R
  • harpazo
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3
Relative Extrema vs Absolute Extrema
  • harpazo
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2
Graduate Differentiate Infinity: What Is It?
  • sheld
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2
Insights The Pantheon of Derivatives – The Direction (I)
  • fresh_42
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3
10.5.55 Does the following series converge or diverge?
  • karush
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4
Finding Extrema under Constraints
  • mathmari
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4
High School Taylor Polynomials and decreasing terms
  • HOLALO
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1
Undergrad By Continuity definition 1/0 is infinity
  • NotASmurf
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9
Graduate Coulomb integrals of spherical Bessel functions
  • Ben Wilson
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10
Undergrad Need a little push on this integral using trig substitution.
  • uchuu-man chi
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2
Graduate How is this mathematically rigorous?
  • EddiePhys
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25
Undergrad What is a Functional in Mathematics?
  • David112234
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10
10.02.10 Find the sum of the series
  • karush
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2
How to Find the Absolute Extrema of a Function Over a Defined Region?
  • harpazo
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2
High School Sum of increasing and decreasing functions
  • chakib
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4
Proving Convexity & Estimating Function $f(x)=(1+x)^n$ for $n\in \mathbb{N}$
  • mathmari
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6
Does the Series Sum of e^n/(1+e^(2n)) Converge?
  • karush
  • · Replies 1 ·
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1
Undergrad Directional Derivative: Why Must Vector Be Unit Vector?
  • Mr Davis 97
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8
Undergrad Area ellipse: parametric form, angles and coincidences
  • haushofer
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10
Undergrad Limit of a two variable function
  • Drako Amorim
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2
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40
Undergrad Understanding the Difference Between Partial and Full Derivatives
  • member 428835
  • · Replies 34 ·
2
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34
Undergrad Can a Velocity Vector be Integrated to Parameterize y=x^2?
  • rabbed
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5
How can we calculate the limits?
  • mathmari
  • · Replies 2 ·
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2
Insights Solve Integrals Involving Tangent and Secant with This One Trick - Comments
  • stevendaryl
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6
Undergrad How do I evaluate the Taylor series for ##Si(x)## around a given value?
  • Kumar8434
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19
High School Applying L'Hospital's rule to Integration as the limit of a sum
  • Kumar8434
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18
Undergrad Limits of integration on Polar curves
  • CrazyNeutrino
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5
Is the Tabular Method the Easiest Way to Solve Integrals?
  • karush
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4
Critical Points & Extrema of Multivariable Function
  • harpazo
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1
Critical Points & Extrema of f (x, y)
  • harpazo
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1
Finding Critical Points and Extrema for g(x, y) = sqrt{x^2 + y^2 + 1}
  • harpazo
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1
Integration By Parts: uv-Substitution - 9.2
  • karush
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4
Integrating $-3x\cos{4x}$: Step-by-Step
  • karush
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5
Undergrad How come surface integrals are single integrals in my book?
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3
Extrema of Functions of Two Variables
  • harpazo
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4
How to Find Lines Tangent to a Parabola Passing Through a Given Point?
  • Kenny52
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1
High School Instantaneous speed without using calculus
  • rajeshmarndi
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2
Undergrad Change of variable and Jacobians
  • dyn
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15