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Popular Calculus >

y^'= x/(y^2)

Solution

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

Solution

y = 3 \frac{3 x ^{2}}{2} + c_{1}

Solution steps

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

Solve separable ODE:

y = 3 \frac{3 x ^{2}}{2} + c_{1}

y = 3 \frac{3 x ^{2}}{2} + c_{1}

Graph

Popular Examples

t(dy)/(dt)+2y=t^2

t \frac{d y}{d t} + 2 y = t^{2}

integral from 1 to 9 of (3x-2)/(sqrt(x))

\int_{1}^{9} \frac{3 x - 2}{x} d x

integral of sec^3(5x)tan^2(5x)

\int sec^{3} (5 x) tan^{2} (5 x) d x

\frac{d y}{d x} = y

(\partial)/(\partial x)(m/x)

\frac{\partial}{\partial x} (\frac{m}{x})

Frequently Asked Questions (FAQ)

What is the solution for y^'= x/(y^2) ?
The solution for y^'= x/(y^2) is y=\sqrt[3]{(3x^2)/2+c_{1}}