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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
Understanding Limits: Explaining Left and Right Limits in Simple Terms
  • Poly1
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6
Graduate Integration by Parts versus the Power Rule
  • Mandelbroth
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2
Graduate A question about notation on derivatives
  • atomqwerty
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1
Proving the Limit of a Sequence with Toeplitz's Theorem
  • Fernando Revilla
  • · Replies 2 ·
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2
Graduate Solving an ODE using substitution and integrating factor
  • Mangoes
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1
Undergrad Understanding the area under a curv and trapizum rule
  • Taylor_1989
  • · Replies 11 ·
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11
Graduate Finding the length of the major and minor axis of ellipse.
  • yungman
  • · Replies 5 ·
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5
Integrate by Parts: Solving Difficult Integrand
  • cbarker1
  • · Replies 3 ·
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3
Undergrad Gradient vector as Normal vector
  • hotcommodity
  • · Replies 11 ·
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11
Solving Improper Integral Challenge Problem
  • polygamma
  • · Replies 5 ·
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5
Improper Integral Convergence & Divergence
  • Also sprach Zarathustra
  • · Replies 2 ·
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2
Integral Calculator: $$\int_a^b\frac{dx}{\sqrt{(x-a)(b-x)}}$$
  • Also sprach Zarathustra
  • · Replies 6 ·
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6
Undergrad Why Does the Taylor Series of exp(-x^2) at x = 0 Start with 1 - x^2?
  • cytochrome
  • · Replies 5 ·
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5
Undergrad Is the Cross Product Valid in Higher Dimensions?
  • doctorjuice
  • · Replies 9 ·
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9
Integral using integration by parts
  • sbhatnagar
  • · Replies 4 ·
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4
Help with Monotonic Sequence Convergence
  • Lisa91
  • · Replies 8 ·
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8
Undergrad What Does the |x=0 = dy dz Mean in the Physical Interpretation of Divergence?
  • Summer2442
  • · Replies 5 ·
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5
Undergrad Derivative of cosh x: Clarifying Confusion
  • Michael_Light
  • · Replies 4 ·
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4
Convergence of Series with Complex Numbers
  • Lisa91
  • · Replies 11 ·
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11
Solving Limit Problem: n→∞, n!-1/n³ln(n!)
  • Lisa91
  • · Replies 2 ·
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2
Undergrad Really understanding how to apply calculus.
  • IronPlate
  • · Replies 1 ·
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1
Undergrad Integrating 1/x: From Undefined to Natural Logs
  • DiracPool
  • · Replies 7 ·
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7
Proving the Limit of Cosine Squared: $\mathbb{Q}$ vs. Non-$\mathbb{Q}$
  • Lisa91
  • · Replies 4 ·
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4
High School How to calculate length of arc?
  • BrandonDouglas
  • · Replies 3 ·
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3
Need help of proving an inequality of intergrals
  • Integration1
  • · Replies 2 ·
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2
Undergrad Advanced Integration-Tabular Method
  • BurgooKing
  • · Replies 2 ·
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2
Graduate Multivariable function notations
  • medwatt
  • · Replies 3 ·
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3
High School What is the difference between global and local maxima and minima?
  • dev70
  • · Replies 5 ·
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5
Derivative dot product cross product
  • Dustinsfl
  • · Replies 7 ·
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7
Undergrad How to Convert Taylor Expansion to Summation Notation and Vice Versa?
  • Vola
  • · Replies 8 ·
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8
Graduate How to Rewrite \sum_{i=1}^{n} |(y_i-\theta)|=n\theta in Closed Form?
  • member 428835
  • · Replies 2 ·
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2
Undergrad What is the Integral of a Volume?
  • BrianJester
  • · Replies 3 ·
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3
Undergrad Understanding the Concept of Gradient for a Zero Function
  • HAMJOOP
  • · Replies 4 ·
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4
Which is greater: $e^{\pi}$ or $\pi^{e}$?
  • Poly1
  • · Replies 2 ·
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2
Newton's method to approximate integrals?
  • Poly1
  • · Replies 3 ·
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3
Undergrad Taylor Expansion of Natural Logarithm
  • golanor
  • · Replies 24 ·
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24
Proving inequalities using calculus
  • Poly1
  • · Replies 15 ·
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15
Undergrad Aren't indeterminant forms misleading?
  • tahayassen
  • · Replies 13 ·
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13
Graduate Does x ≤ ky Imply x < y for k < 1 in Mathematical Analysis?
  • tragicmuffin
  • · Replies 5 ·
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5
Undergrad 4 parameter logistics - GraphPad
  • Hemispasm
  • · Replies 9 ·
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9
Undergrad Maximise perimeter of triangle in a circle
  • twinkle21
  • · Replies 1 ·
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1
Undergrad Why the Taylor Series has a Factorial Factor
  • matematikuvol
  • · Replies 7 ·
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7
Undergrad Math methods in physics book - vector calc proof
  • galactic
  • · Replies 2 ·
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2
Graduate Problem understanding the differential form of the circulation law
  • havarija
  • · Replies 4 ·
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4
Undergrad Why are finding slope and finding area inverse processes?
  • kartoshka
  • · Replies 11 ·
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11
Undergrad How Do You Determine Partition Points Using the Composite Trapezoidal Rule?
  • Hiche
  • · Replies 1 ·
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1
Method of dominant balance
  • Poirot1
  • · Replies 1 ·
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1
Undergrad How Can I Determine the Minimum Volume of a Cube Given the Surface Area?
  • member 392791
  • · Replies 8 ·
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8
Undergrad Which series can be truncated?
  • HomogenousCow
  • · Replies 4 ·
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4
Undergrad How can I determine the direction of parametrization for a curve?
  • cytochrome
  • · Replies 4 ·
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4
For those familiar with the WKB method
  • Poirot1
  • · Replies 2 ·
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2
High School What Is a Permutation and Can You Provide an Example?
  • loserone+_+
  • · Replies 5 ·
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5
Undergrad Connection between definite and indefinite integrals?
  • tahayassen
  • · Replies 12 ·
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12
Undergrad Why is the derivative of e^(2x) equal to 2e^(2x)?
  • gokuls
  • · Replies 8 ·
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8
Graduate Differential Geometry Relations, relating to plasma physics.
  • Alexjcb
  • · Replies 1 ·
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1
High School Why are sinh and cosh named after sinusoidal functions?
  • tahayassen
  • · Replies 11 ·
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11
Ship problem,related time change
  • wolfsprint
  • · Replies 2 ·
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2
Graduate Understanding Notation and Connections of Hypergeometric Functions
  • matematikuvol
  • · Replies 10 ·
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10
Volume of a Roof: Find Attic and Surface Area
  • Poly1
  • · Replies 4 ·
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4
Undergrad Paritial derivative of function of dependent variables
  • ato
  • · Replies 25 ·
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25
Undergrad How to determine volume from a picture?
  • skrat
  • · Replies 7 ·
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7
How Do You Calculate the Rate of Change in Distance for a Ship's Journey?
  • wolfsprint
  • · Replies 8 ·
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8
Can the Volume of a Sphere be Calculated Using its Surface Area and Radius?
  • wolfsprint
  • · Replies 11 ·
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11
Graduate How Does Changing to Polar Coordinates Simplify This Physics Integral?
  • VantagePoint72
  • · Replies 9 ·
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9
Graduate Continuum Mechanics - Deformation gradient
  • tricha122
  • · Replies 4 ·
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4
How Does the Volume Change as Dimensions of a Square-Based Box Alter?
  • wolfsprint
  • · Replies 8 ·
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8
Solving Problems Involving Differentiability of a Function
  • Yankel
  • · Replies 6 ·
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6
Maximizing Profit with x Units: A Math Puzzle
  • Yankel
  • · Replies 6 ·
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6
Graduate Calculate double integral of the intersection of the ellipse and circle
  • zs96742
  • · Replies 5 ·
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5
How is the Gradient of u(r,θ) Calculated?
  • Dustinsfl
  • · Replies 2 ·
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2
Undergrad Integrating complex exponentials with Infinite limits
  • Ribena
  • · Replies 1 ·
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1
Graduate Differentiating and Integrating the Lambert W function
  • pierce15
  • · Replies 9 ·
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9
Graduate Very Basic Vector Calculus Question - dx,dy,dz and i,j,k
  • zooxanthellae
  • · Replies 5 ·
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5
Looking for a Free Domain Coloring Grapher?
  • pierce15
  • · Replies 1 ·
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1
Chain Rule and 'The Mob'....Pretty darn good explanation
  • PhysicsRus
  • · Replies 1 ·
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1
Graduate A question about principal ideals and order
  • Artusartos
  • · Replies 2 ·
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2
Graduate Happy New Year: Infinite Sum Question Explanation
  • matematikuvol
  • · Replies 4 ·
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4
Graduate Derivation of the Antiderivative of the Gaussian Distribution
  • Mandelbroth
  • · Replies 5 ·
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5
Undergrad Difference Between Surface Integrals and Surface area using double integrals .
  • shenjie
  • · Replies 2 ·
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2
Graduate Zero curl but nonzero circulation
  • MHD93
  • · Replies 1 ·
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1
Graduate Is a Mac donald function really a Bessel function
  • zetafunction
  • · Replies 2 ·
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2
Graduate Integration of Modular Arithmetic Functions
  • Igora
  • · Replies 4 ·
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4
Graduate Imaginary components of real integrals
  • cesiumfrog
  • · Replies 3 ·
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3
Graduate Commutative property of partial derivatives
  • yayyyymath
  • · Replies 8 ·
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8
Solving Limit: x^2->∞, Why is Limit -1?
  • Yankel
  • · Replies 3 ·
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3
Max dimensions of box template
  • karush
  • · Replies 15 ·
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15
Graduate How do I use Green's theorem with holes?
  • Vorde
  • · Replies 3 ·
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3
Graduate Legendre equation , the Bessel equation and Sturm Liouville equation
  • mano0or
  • · Replies 4 ·
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4
Proving Definite Integral: \(\ln x/\sqrt{x(1-x^2)}\)
  • sbhatnagar
  • · Replies 2 ·
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2
Calculating partial derivatives in different coordinate systems
  • oblixps
  • · Replies 2 ·
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2
Undergrad Integral through a path in 2D (or ND) What's the usual definition ?
  • Swimmingly!
  • · Replies 3 ·
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3
Undergrad Two questions about cycles (algebra)
  • Artusartos
  • · Replies 3 ·
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3
Graduate Change of variable in integral of product of exponential and gaussian functions
  • galuoises
  • · Replies 3 ·
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3
Undergrad Gradient theorem, why F=-grad(U) ?
  • amiras
  • · Replies 4 ·
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4
Undergrad Deriving tangent plane equation - assuming 'c' is non-zero
  • autodidude
  • · Replies 10 ·
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10
Undergrad What are the limits for the integral of sin(x) * sin(x^2)?
  • LordVader88
  • · Replies 2 ·
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2
Undergrad Projectile Motion in 3D space (Writing an Aimbot)
  • wolfknight
  • · Replies 3 ·
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3
Undergrad Question about the application of the chain rule
  • Astrum
  • · Replies 7 ·
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7
Graduate A question about ring homomorphisms
  • Artusartos
  • · Replies 1 ·
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1
Undergrad Can a Function in Polar Coordinates Fail in Cartesian Coordinates?
  • Undoubtedly0
  • · Replies 2 ·
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2