Differential Equations

Advanced calculus topics from Diff EQ go here.
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Please point out any mistakes in the solution
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4
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mario99
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M
Use d'Alembert's Solution to Solve the Wave Equation
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2
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1K
mario99
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M
Laplace Transform of Error Function: Laplace-Transform of (erfc(1/sqrt{t}))
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2
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2K
mario99
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vt(x,t)−vxx(x,t)=0,x∈R,t>0,v(x,0)=sin2(3x),x∈Rv_t(x, t)-v_{xx} (x, t)=0 , x\in \mathbb{R}, t>0, v (x, 0) = sin^2(3x), x\in \mathbb{R} can this be solved using separation of variables?
2
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24
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7K
MaxWong
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C
Engineering Mathematics (Understanding how to get each step from m=)
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1
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540
Callum626
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Difficult PDE related problem
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3
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1K
mario99
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I
Green theorem: compare {xy-(x^2)} dx+)x^2)ydy} over the triangle bounded lines y=0,x=1,y=x and verify by Green's theorem
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1
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1K
mario99
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J
Ayers Differential Equations Schaums Outline Chap. 2 Problem 3
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10
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Joseph P.
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Integrate
y"-[1-(y')^2]y'+y=0 qualitative analysis
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2
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831
Integrate
Integrate
Integrate
Show that if y(t) satisfies y"-yt=0, then y(-t) satisfies y"+ty=0
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1
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641
blamocur
blamocur
A
How can one derive transfer function from initial conditions to output ?
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0
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679
akleron
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Ayers Differential Equations Chap 2 Problem 3
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0
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425
Joseph P.
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J
Ayer's Differential Equations Chap. 2 Problem 3
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0
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437
Joseph P.
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Solve dy/dx= 6e^y sin3x when y=0 and x=0
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11
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2K
mario99
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R
Question about differential order of operations/properties
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6
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2K
blamocur
blamocur
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General Solution for System of Differential Equations
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2
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1K
tommcgtx
T
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Please anyone help me understand: dy/dx = (2 * dz^2 * y^(3n) - 2x^4 * ay^(-n^3) - az * (m^2 - y^3)) / (y^3 * dz)
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0
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790
kaif78
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D
Please help me understand and solve the second-order DM: yy" + y = (y')^2
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1
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828
mario99
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Burgers equation: du/dt + u * du/dx - v* (d^2u/dx^2) = 0, with u(x,0)= 2 for x < 0 u(x,0)= 0 for x >/= 0
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1
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1K
mario99
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M
derivating v(x, t) := u(x-4t, t) on x and t (partial derivatives)
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13
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2K
MathNugget
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