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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
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Undergrad Why is ##x=e^y## the inverse of ##y=\int_1^x \frac{1}{t} dt##?
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High School Why is the growth of exps & logs so fast & slow, respectively?
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Undergrad Finding the minimum distance between two curves
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High School Arc Length for Hyperbolic Sin
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High School How does this derivative work? And why the speed of light remains?
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Undergrad Train Wreck Integral Shortcut...
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Undergrad Proving that convexity implies second order derivative being positive
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Graduate How to Find Critical Points of function f(x,y,z)
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Undergrad Problem with calculating projections of curl using rotation of contour
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High School Is this the right set mapping notation for a limit in two variables?
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Undergrad Derive the orthonormality condition for Legendre polynomials
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Undergrad How to find the path if we only know the velocity (without common formulas)?
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Undergrad Why is Griffiths Treating the Summation Like This?
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High School Complex Numbers and Real Taylor Series
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Graduate Getting the power spectral density from a plot
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Graduate Leibniz Rule Videos on Digital-University
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Undergrad Algebraic property of real numbers
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Undergrad Partial derivative of Dirac delta of a composite argument
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Undergrad Integral confusion for a simple Differential Equation
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Graduate Challenging integral involving exponentials and logarithms
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Undergrad Struggling with vector calculus identity used in E&M derivation
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Undergrad Harmonic series Ʃ1/n diverges but p-series Ʃ(1/n)^p diverges?
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Undergrad Finding the Largest (or smallest) Value of a Function - given some constant symmetric errors
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Undergrad Having trouble understanding a seemingly simple u-substitution
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High School Mass estimate only through mass rate of change
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High School Modelling object w/ functions, how to find volume loss from indents?
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9
Graduate Function expansion in Cartesian and spherical tensors
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Undergrad ##f(2x)=f^2(x)-2f(x)-1/2## then find ##f(3)##
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Undergrad Uniform convergence of family of functions with continuous index
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Undergrad Optimization problem: Error mitigation while using trigonometry
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Graduate Fourier series approximation of a discontinuous eddy function
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Undergrad Find ##\int_0^π \sin^ n x dx ##
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Undergrad ##L^2## - space equivalence classes and norm
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Graduate Particular Integrals of PDEs
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Graduate Why Does Leg Selection in Trig Substitution Affect the Integral Result?
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Undergrad Another Integration Formula
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Graduate Solving a power series
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Undergrad Delta sequence "extrapolation"
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Undergrad Oddity of a functional equation for the R zeta function
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Undergrad Infinitely many primes of the form p² + nq² -- really?
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Undergrad Is there an alternative to Taylor series but with differences?
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Undergrad The net area and total area involving definite integrals
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High School The infinitesimal in Calculus
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Undergrad Usage of inverse function theorem in Folland
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11
Undergrad Questions on ##\mathbb{R}##
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High School What is a general definition of a limit?
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Undergrad Integrating 1/x with units (logarithm)
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Undergrad Different Substitution for Solving an Integral
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Undergrad Trying to understand roots of quadratic equations
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Undergrad A correct definition of sequential right continuity of a function
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Undergrad Method for finding a complex series?
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Undergrad Curl operator for time-varying vector
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Undergrad Difference between integral and antiderivative?
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High School Some questions to understand Riemann integrability criterion
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Undergrad Understanding linear expressions
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Undergrad Question about this Integration by Substitution
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Undergrad Infinite Series - Divergence of 1/n question
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Undergrad To What Extent Can You Manipulate Limits?
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Undergrad Understanding the nth-term test for Divergence
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High School Does U-Substitution Function as the Inverse of the Chain Rule?
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10
Undergrad Integration Using Trigonometric Substitution
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Undergrad Uniform convergence and derivatives -- difference between two theorems?
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Undergrad On inverse function theorem in Spivak's CoM
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6
Undergrad What is the position of this moving particle over time?
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8
High School Why does the Limit Process give an Exact Slope?
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Undergrad Switching a derivative and a limit is sometimes possible, sometimes not...
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Undergrad What is the difference between these two power series theorems?
  • psie
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5
Undergrad Analysis of functions of a single variable via multivariable calculus?
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10
Undergrad Can Schwarz's Theorem be used "Backwards" to prove continuity?
  • Feymar
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21
High School Some questions while I self-learn Applied Calculus
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Undergrad How to Approach a Double Exponential Integral?
  • Steve Zissou
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3
Undergrad What would a calculus author have to say on ##\int r^2dm##?
  • DrBanana
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High School How do physicists know if limits exist, things are integrable, etc?
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Undergrad Separation of variables and the chain rule
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8
Undergrad Question about Integrals to Determine Volume vs Surface Area
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5
Undergrad Question about Cartesian Tensors
  • Worn_Out_Tools
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3
Undergrad Doubt about theorem in Calculus on Manifolds
  • psie
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Graduate Question about proof of Great Picard Theorem
  • MathLearner123
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High School Some questions regarding the integral of cos(ax), "a" not zero
  • mcastillo356
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Graduate Existence of a limit implies that a function can be harmonic extended
  • MathLearner123
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Graduate Question about branch of logarithm
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