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How to find the general solution of $xy''-(2x+1)y'+x^2y=0$ when we know the general solution of $y''+2y'+xy=0$?

differential-equations asked Nov 28 '12 at 1:05

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$\mathcal{B}^{-1}_{s\to x}\{e^{as^2+bs}\}$ and $\mathcal{L}^{-1}_{s\to x}\{e^{as^2+bs}\}$ , where $a\neq0$

laplace-transform contour-integration asked Jul 11 '12 at 1:08

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About fractional differentiation under the integral sign

fractional-calculus asked Aug 2 '12 at 23:47

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Top Answers

Particular solution to a Riccati equation $y' = 1 + 2y + xy^2$

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Solving 4th-order PDE

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Stochastic Heat Equation

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The Weierstrass substitution in differential equations

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How to solve $y(y'+3)=ax^2+bx+c, \quad a,b,c \in \mathbb{R}$

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