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Popular >

(2y^')/y =x

Solution

\frac{2 y ^{^{'}}}{y} = x

Solution

y = e^{\frac{x ^{2}}{4} + c_{1}}

Solution steps

\frac{2 y ^{'} ( x )}{y} = x

Solve separable ODE:

y = e^{\frac{x ^{2}}{4} + c_{1}}

y = e^{\frac{x ^{2}}{4} + c_{1}}

Graph

Popular Examples

integral of (2x^3-4x^2-x-3)/(x^2-2x-3)

\int \frac{2 x ^{3} - 4 x ^{2} - x - 3}{x ^{2} - 2 x - 3} d x

y^{''}+4y=-3x^2+2x+3

y^{^{''}} + 4 y = - 3 x^{2} + 2 x + 3

limit as x approaches 0 of (e^x-1)/x

x \to 0 lim (\frac{e ^{x} - 1}{x})

derivative of y=3x^2+5x-1 derivative of

y = 3 x^{2} + 5 x - 1

(\partial)/(\partial z)(sin(yz))

\frac{\partial}{\partial z} (sin (yz))

Frequently Asked Questions (FAQ)

What is the solution for (2y^')/y =x ?
The solution for (2y^')/y =x is y=e^{(x^2)/4+c_{1}}