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Popular >

y^'=(x^3-2y)/x

Solution

y^{^{'}} = \frac{x ^{3} - 2 y}{x}

Solution

y = \frac{x ^{3}}{5} + \frac{c _{1}}{x ^{2}}

Solution steps

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

Solve linear ODE:

y = \frac{x ^{3}}{5} + \frac{c _{1}}{x ^{2}}

y = \frac{x ^{3}}{5} + \frac{c _{1}}{x ^{2}}

Popular Examples

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\int t^{2} + e^{t} d t

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\int_{0}^{π} 9 sin^{2} (4 x) d x

limit as x approaches 0 of sin^3(2x)

x \to 0 lim (sin^{3} (2 x))

derivative of (-8x/((x^2-16)^2))

\frac{d}{d x} (\frac{- 8 x}{( x ^{2} - 16 ) ^{2}})

Frequently Asked Questions (FAQ)

What is the solution for y^'=(x^3-2y)/x ?
The solution for y^'=(x^3-2y)/x is y=(x^3)/5+(c_{1})/(x^2)