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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
Undergrad How Do I Find the Laplace Transform of an Integral?
  • lamdc
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Undergrad Understanding the Concept of 'Cancelling dt's' in Derivatives and Integrals
  • Abdullah Almosalami
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5
Undergrad Calculate Work to Pump Water out of Tank | Joules Required
  • fubag
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1
Undergrad Showing that a multivariable limit does not exist
  • ek124
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3
How Do You Calculate Closing Velocities and Determine Their Range?
  • frankie1
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11
How Can I Find the Equation of the Dotted Tangent Line of a Circle?
  • Yankel
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5
Undergrad Centroid of homogeneous lamina region R and the factor of "1/2"
  • PainterGuy
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4
Graduate Optimal Filter Coefficients: Correlation versus Least Squares
  • Squatchmichae
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1
Undergrad Mean of the derivative of a periodic function
  • Robin04
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6
Undergrad Does this "theorem" of limits hold in general?
  • walking
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1
High School A proof of the fundamental theorem of calculus
  • Rishabh Narula
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6
Undergrad Function value at different points
  • Apashanka
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8
Undergrad Fourier series coefficients in a not centered interval
  • Phys pilot
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1
Undergrad Geometric meaning of reversing the limits of an integral
  • mech-eng
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Undergrad What Are Some Examples of Symbolic Manipulation Not Included in Calculus?
  • Jonathan212
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8
High School A function's derivative being not defined for some X but having a limit
  • Mcp
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4
Undergrad Centre of mass of a semicircle using polar coordinates
  • walking
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5
Graduate The δ Notation in Calculus of Variations
  • sams
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2
Undergrad How to Derive the Taylor Series for log(x)?
  • PainterGuy
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5
Undergrad Question regarding Stokes' Theorem
  • Laudator
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Undergrad Divergence of traceless matrix
  • jouvelot
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2
Undergrad A random question comes to mind, about the infinitesimal area of rings
  • Laudator
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2
Graduate How Does Energy Convergence Relate to Fourier Series Representation?
  • Jag1972
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Graduate How Can We Ensure Convergence in Function Approximations Beyond Taylor Series?
  • mertcan
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Undergrad Trick for evaluating limits by substituting in 1/n
  • cuallito
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6
Surface Area of Revolution with Double Integration
  • Edward2022
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1
Undergrad Attempting to find an intuitive proof of the substitution formula
  • Adgorn
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7
Undergrad Why Does the Area Under a Diffraction Curve Equal This Value?
  • albertrichardf
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2
Undergrad Is there anything wrong with how the supremum of a set is written?
  • Eclair_de_XII
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5
Undergrad Line integral for work done by gravity
  • bottle_shadow
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3
Total differential to calculate approximately the largest error
  • Ereisorhet
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1
Undergrad Is Leibniz integral rule allowed in this potential improper integral?
  • Beelzedad
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1
Graduate A function with certain conditions on derivatives at 0
  • phoenixthoth
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1
Improper integral of an even function
  • sarrah1
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2
Undergrad Elliptic Cylinder Coordinates, Acceleration Derivation....options?
  • mishima
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4
Graduate Generate a gamma curve with values
  • wildonion
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1
Undergrad How to calculate the equation of a Hyperbola
  • Dinoduck94
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7
Undergrad Partial derivative interpretation
  • Celso
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3
What are the key characteristics of polar curves like petals and limacons?
  • Eissa12
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1
Graduate Fourier series technique to show that the following series sum to the quantities
  • maddogtheman
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1
Undergrad Good Multivariable Calculus reference text
  • chipsandwich
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1
Undergrad Analytic continuation of a dilogarithm
  • CAF123
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1
Undergrad Time evolution of a Jacobian determinant
  • Apashanka
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22
How to evaluate a double integral over a bounded region?
  • mduffy
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5
Undergrad Why wasn't this symbol "swapped"?
  • SamRoss
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2
Finding Discontinuities: Multiply by Conjugate?
  • RidiculousName
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4
How Do You Rearrange dS/dt = (n-x-rS)(L-1) to Solve for t?
  • BSLAHi
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1
Undergrad Why is the Laplace transform unchanged when t is replaced with -t?
  • SamRoss
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2
Undergrad Derivation of Divergence in Cartesian Coordinates
  • Zexuo
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4
Undergrad Why do I get two different values for an integral?
  • Mr Davis 97
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5
Undergrad Retaining Linear Terms of v and δ in Expansion Calculations
  • Apashanka
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5
Undergrad Why Does the Electric Field Calculation Diverge Inside the Volume?
  • Mike400
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4
Where Do Polar Curves r=5sin(theta) and r=5cos(theta) Intersect?
  • joshuapeterson
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205.8.9 Find the derivative of the function
  • karush
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3
Undergrad Fourier Analysis: What is the Difference with (w-wo)?
  • hanson
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1
Undergrad Is there an algebraic derivation of the area element in polar coordinates?
  • SamRoss
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11
Undergrad Riemann Integral: Does g(x)=f(x) Almost Everywhere?
  • mathman
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28
Graduate Continuous formula for area of segment of a circle
  • Skaperen
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1
Graduate Deriving equations from fourier series representations
  • seanbow
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1
141.30 how many points of inflection will the graph of the function have
  • karush
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3
Undergrad Helpful vector analysis interactive visuals
  • jackiefrost
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1
High School Justification for cancelling dx in an integral
  • SamRoss
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4
Graduate Is a C^1 diffeomorphism with f of class C^k also a C^k diffeomorphism?
  • Avogadro Number
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3
Solving Integral Confusion: Limits & Periods
  • Vali
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1
Undergrad How to Expand the Inverse Function of a Given Function?
  • kent davidge
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11
Graduate Help extending volumes of revolution to fourth dimension
  • 2dB+2dB~5dB
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Undergrad The product of 2 infinite sums
  • dyn
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5
High School Generating the formula for the coefficients of an alternating series
  • Matt Benesi
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17
Insights Demystifying Parameterization and Surface Integrals
  • LCKurtz
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3
Undergrad Can the Total Time Derivative Function in the Lagrangian Depend on Velocities?
  • kent davidge
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6
High School Learn why we get the area of a function by integrate it
  • unseensoul
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1
Undergrad Practical Problems Involving Differentiation/Integration/Limits
  • Crabman
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1
Undergrad What is the Correct Formula for the Sequence x_0 in Terms of S?
  • JDude13
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1
Graduate Derivative of ##\theta## w.r.t. ##a##: A Detailed Explanation
  • a.mlw.walker
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1
Graduate How can we solve sums of powers of integers using differences and integrals?
  • eljose
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1
Graduate Can Integrals Take Different Values Without Being Equal?
  • rs123
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1
Undergrad Purpose of parametric equations
  • xyz3003
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1
High School How Do Discrete Derivatives and Integrals Work in Calculus?
  • ForceBoy
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2
Graduate How Do Series Converge in Normed Spaces?
  • Greg Bernhardt
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5
Graduate How to find maximum change in the following scenario?
  • PatternSeeker
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1
Undergrad What's the difference between the Riemann & Darboux Integrals?
  • swampwiz
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3
Limit of the smallest function value
  • lfdahl
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1
Graduate Challenge I: Concavity, solved by Millenial
  • Greg Bernhardt
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1
Undergrad Spherical & Cylindrical Coordinates
  • intwo
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1
Undergrad Finding Upper and Lower Limits of Sn
  • Ka Yan
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1
Graduate How to Find Potential Functions? A 10 Minute Introduction
  • Greg Bernhardt
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1
Undergrad What is implicit differentiation
  • Greg Bernhardt
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1
Undergrad What are the commonly encountered indeterminate forms in algebraic functions?
  • Greg Bernhardt
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1
Undergrad How Does L'Hôpital's Rule Solve Indeterminate Forms in Calculus?
  • Greg Bernhardt
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1
Undergrad What is the power rule for taking derivatives of polynomial functions?
  • Greg Bernhardt
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1
Undergrad What is the mean value theorem
  • Greg Bernhardt
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1
Undergrad What is Integration By Parts? A 5 Minute Introduction
  • Greg Bernhardt
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2
Graduate Gradient Definition: What is the Vector Operator \mathbf\nabla?
  • Greg Bernhardt
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1
Graduate Exponential Definition & Summary: An Overview
  • Greg Bernhardt
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1
Graduate What is the history and significance of Euler's formula?
  • Greg Bernhardt
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1
Undergrad Chain Rule Definition: What Is It?
  • Greg Bernhardt
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1
Undergrad Ti-84 strange derrivative problem
  • Bassie
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1
Undergrad Lie derivatives: ##L_Xf=[X,f]##The product rule Definition/Summary - What is it?
  • Greg Bernhardt
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1
Undergrad What is the Quotient Rule and how is it used to find derivatives?
  • Greg Bernhardt
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1
Graduate What is the Importance of Rolle's Theorem?
  • Greg Bernhardt
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1