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Popular >

y^'=(e^y)/(x^3)

Solution

y^{^{'}} = \frac{e ^{y}}{x ^{3}}

Solution

y = - ln (\frac{1}{2 x ^{2}} - c_{1})

Solution steps

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

Solve separable ODE:

y = - ln (\frac{1}{2 x ^{2}} - c_{1})

y = - ln (\frac{1}{2 x ^{2}} - c_{1})

Popular Examples

derivative of-tan(2sin(4x))derivative of

- tan (2 sin (4 x))

integral of ((1+x+x^2))/(sqrt(x))

\int \frac{( 1 + x + x ^{2} )}{x} d x

limit as x approaches 2 of 2/(x^2-4)

x \to 2 lim (\frac{2}{x ^{2} - 4})

integral of (-2sqrt(x))/3

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

y^{''}-9y^'=1+3e^{2x}

y^{^{''}} - 9 y^{^{'}} = 1 + 3 e^{2 x}

Frequently Asked Questions (FAQ)

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