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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
Graduate Cauchy Riemann conditions/equation
  • MartinV05
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Chain Rule & Trig Functions: Explaining to DeusAbs
  • DeusAbscondus
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How is the constant '4' handled in differentiation of $y=4\cos(x^3-2x)$?
  • DeusAbscondus
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9
Undergrad Why is the Height of Each Cylinder in a Cone dS and not dH?
  • dtseng96
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Undergrad Algorithms for infinite geometric series via long division?
  • AdkinsJr
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Undergrad When plotting graphs in polar coordinates, how does one know when to
  • hale2bopp
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Undergrad Another quick question, Fundamental Theorem of Calculus
  • c.teixeira
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6
Graduate Why does the sinc function approach zero as the argument approaches infinity?
  • McLaren Rulez
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Graduate No Limit Points in Natural Numbers: Problem with Proof?
  • Dschumanji
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Graduate Fourier Transform and Limit of Euler's Formula
  • gordon831
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Undergrad What is the ε & δ definition of continuity of f(x) at x=0?
  • Joydeep B
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Undergrad Understanding the Straight Chain Rule: Help Needed!
  • Mgarrettny
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4
Undergrad Two different solutions for one integral?
  • Cetullah
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Graduate Integral want same answer as book
  • Steve Drake
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6
Graduate How to obtain a 2D-coordinate system from two family of curves?
  • mnb96
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Graduate What Is the Mathematical Substitution Used in This Integral Notation?
  • Alesak
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Undergrad Proof that the area under the curve dh/dt against t = height
  • expatiated
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Undergrad Making Sense of the Chain Rule: Can I Multiply to Find dy/dx?
  • Bashyboy
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3
Undergrad How Can You Solve the Infinite Series \(\sum_{n=1}^{\infty}\frac{n}{k^{n}}\)?
  • YvesSch
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Graduate Partial Derivatives with Respect To Lines That Are Not In The Direction of Axis
  • Byron Chen
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Graduate Is this result trivial? (improper integral representations of real functions))
  • Sigma057
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8
Integrating $\frac{1}{x^r-1}$ with r>1
  • bincy
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5
High School What Does Δy/Δx Represent in Basic Differentiation?
  • raeshun
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Undergrad Deriving the volume and surface area of a cone
  • dtseng96
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7
High School How can I find the roots of a polynomial like x^3-7x+6?
  • Cetullah
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7
Undergrad Are All Integrals Solvable by Changing Coordinate Systems?
  • hover
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3
Graduate How Are Square Roots Defined for Complex Numbers?
  • Bacle2
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Undergrad Two-Path Test: Understanding Variable Function Limits
  • assed
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Undergrad What is the error in calculating the infinite sum 1 + 2 + 4 + 8 + 16 + ...?
  • Routaran
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Limit of Function w/ 0<q<1: Solved by Bincy
  • bincy
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2
Undergrad Integral test and ratio test on haromonic series.
  • avman
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1
Graduate I'm having trouble with an integral for my QM senior thesis
  • jmm5872
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9
Finding the Metric Tensor for a Flat 2D Plane with Rotated Coordinates
  • andrey21
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Graduate How did Madhava come up with the Arctan series?
  • imurme8
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Graduate Second derivative relationships of substituted varaibles
  • PhilDSP
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6
Simple limit question in attached pdf
  • DeusAbscondus
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15
Undergrad Help Understanding Stewart Chain Rule Proof [Picture Provided]
  • nickadams
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6
Undergrad Is there a way to prove that A(x) is minimum when x=2r?
  • Rush123
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Undergrad Use of a derivative or a gradient to minimize a function
  • onako
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Is the Derivative of f(x)=1/x^3 Correctly Calculated as -3/x^4?
  • DeusAbscondus
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Undergrad What Does the Lower Limit in This Integral Represent?
  • femiadeyemi
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Undergrad Minimizing Sum of Absolute Values
  • adoado
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Undergrad Need a function with a jump discontinuity
  • mesa
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19
Undergrad Understanding Series Convergence
  • BarringtonT
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5
Undergrad Approximation of a function in limit of small and large x
  • FrankDrebon
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Undergrad Power Series & Function f(x): Purpose & Explanation
  • BarringtonT
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Undergrad Rate at which things appear smaller and establishing a baseline
  • LykosPF4
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Graduate Shortest path to the Calculus of Variations
  • GoutamTmv
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Find Volume of Wine Glass on Side with Solids of Revolution
  • Jipsonburger
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Graduate How to compute the area of a hyperboloid of revolution?
  • DaviesX
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Undergrad Calculate Initial Velocity for Projectile Launch | Solve for Time and Velocity
  • andrija
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Undergrad Does this Divergence Test problem converge?
  • flyintiger
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Undergrad How to calculate the derivative of ln(x) using the limit
  • Cristopher
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11
Graduate Wikipedia error about the complementary error function?
  • AxiomOfChoice
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Undergrad Not Understanding Derivative Notation
  • Gibby_Canes
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Graduate Difference between small delta t, big delta t, and dt?
  • schrodingerscat11
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Undergrad Chain Rule Paradox or Am I Doing Something Wrong?
  • V0ODO0CH1LD
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Graduate Integration techniques and Cauchy prinicpal value
  • Stephen Tashi
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Undergrad Confused about derivatives of inverse functions
  • Scintillation
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Number of Molecules vs Velocity: Finding N for v > v_0
  • alexmahone
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Graduate Choosing constants to make integral convergent
  • sr3056
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5
Undergrad Clarification on L'Hopital's Rule?
  • krackers
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4
Undergrad Proof for first principle equation in derivatives?
  • Swetasuria
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8
Undergrad How Is the Operator d/dx Conceptualized in Calculus?
  • FlyingPanda
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Maximizing the Value of sin(alpha)+cos(beta) in the Interval [0, pi]
  • DrunkenOldFool
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5
How Do You Integrate 1/(x^2 + 1)^2 Using the Hermite-Ostrogradski Method?
  • righteous818
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Graduate Generating Functions for n+1 Integer Set: Closed Form
  • anthony2005
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1
Undergrad Why do derivatives and integrals cancel each other?
  • krackers
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10
Graduate Differentiation of the l1 norm of gradient
  • wilsonnl
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2
Graduate Lebesgue Measurable but not Borel sets.
  • Bacle2
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Graduate Deducing Maclaurin series converges from Leibniz formula
  • sr3056
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3
Undergrad How do you find the slope of a line in 3D coordinate system given two points?
  • Lizwi
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3
Graduate F(n) Limit Calculation and Inequality Proof Help
  • sr3056
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6
Undergrad How can I find the Proper starting point in FindRoot command?
  • Mona_r
  • · Replies 7 ·
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7
Graduate Find the function for this Taylor series
  • arithmetic
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14
Graduate Find F(2,4) of Differentiable Function
  • antjm
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6
Undergrad Why can't you break the limit of x*sin(1/x) into two separate limits?
  • krackers
  • · Replies 12 ·
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12
Graduate Applying the FTC to an arbitrary solution of the Schrodinger equation
  • AxiomOfChoice
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Is the Integral of 1/sqrt(1-x^4) Expressible in Terms of Elementary Functions?
  • juantheron
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3
Undergrad Calculate throw angle to have the curve cross a certain point
  • kiriri
  • · Replies 8 ·
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8
Graduate Chain rule with multiple variables
  • Undoubtedly0
  • · Replies 6 ·
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6
Undergrad Anyone remember how to solve 0^0?
  • kings_gambit
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2
Undergrad Understanding Limits: Practical Examples & Discontinuity
  • Stu21
  • · Replies 1 ·
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1
Integral from negative infinity to infinity
  • juantheron
  • · Replies 1 ·
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1
Graduate Why Doesn't Stoke's Theorem Require a Simply Connected Manifold?
  • Trifis
  • · Replies 19 ·
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19
Graduate Proving Global Max/Min for Function w/ 2 Variables: Advice Needed
  • porroadventum
  • · Replies 5 ·
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Graduate Whittaker and Watson examples solutions / hints
  • TriggerFish
  • · Replies 3 ·
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3
Graduate Integral from Unsolvable Equation
  • TheFool
  • · Replies 40 ·
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Graduate Differential Squared: Do We Always Assume (dx)^2=0?
  • learner928
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Undergrad How does the proof of L'Hopital's rule show that the limit is equal to A?
  • modnarandom
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Undergrad Evaluating limit as h->0 of (e^h-1)/h
  • autodidude
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8
Graduate Indefinite Integral for -.5*(ln(2))^2
  • SumThePrimes
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Graduate How Does the Tanh(x) Approximation Relate to Small Angles?
  • wil3
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6
Graduate Ricci Tensor: Understanding the Mathematics & Concepts
  • mathsTKK
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1
Undergrad Derivative of Exponential Function
  • Bashyboy
  • · Replies 6 ·
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6
Graduate Integral with Cauchy Prinicpal value
  • M.B.
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Graduate Integral? Average Velocity of a Spinning Propeller
  • jaguar7
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Graduate Problem with Integrating by parts
  • aries0152
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3
Undergrad Multivariable Calculus, Partial Derivatives and Vectors
  • V0ODO0CH1LD
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Graduate Derivative of Pressure/Temperature: Explained
  • racnna
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