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Popular >

xy^'=(2x^2-1)y

Solution

x y^{^{'}} = (2 x^{2} - 1) y

Solution

y = \frac{e ^{x^{2} + c_{1}}}{x}

Solution steps

x y^{'} (x) = (2 x^{2} - 1) y

Solve separable ODE:

y = \frac{e ^{x^{2} + c_{1}}}{x}

y = \frac{e ^{x^{2} + c_{1}}}{x}

Graph

Popular Examples

derivative of hg(x)=hg(x)

\frac{d}{d x} (h g (x)) = h g (x)

y^{^{'}} + \frac{1}{a ^{2}} y = 0

(dy)/(dx)=(3x-2)^3e^{2y}

\frac{d y}{d x} = (3 x - 2)^{3} e^{2 y}

2xdx+sin(y)dy=0,y(1)=0

2 x d x + sin (y) d y = 0, y (1) = 0

q^'(p)=(5400p^2q(p))/((p^3+2)^2)

q^{^{'}} (p) = \frac{5400 p ^{2} q ( p )}{( p ^{3} + 2 ) ^{2}}

Frequently Asked Questions (FAQ)

What is the solution for xy^'=(2x^2-1)y ?
The solution for xy^'=(2x^2-1)y is y=(e^{x^2+c_{1}})/x