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Popular Calculus >

y^'+9xe^y=0

Solution

y^{^{'}} + 9 x e^{y} = 0

Solution

y = - ln (\frac{9 x ^{2}}{2} - c_{1})

Solution steps

y^{'} (x) + 9 x e^{y} = 0

Solve separable ODE:

y = - ln (\frac{9 x ^{2}}{2} - c_{1})

y = - ln (\frac{9 x ^{2}}{2} - c_{1})

Graph

Popular Examples

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\frac{\partial}{\partial y} (\frac{3 x}{y})

y^{^{'}} = 4 - y

integral of (2/(x^3)+3/(x^2)+5)

\int (\frac{2}{x ^{3}} + \frac{3}{x ^{2}} + 5) d x

limit as x approaches 0 of x^2cos(9/x)

x \to 0 lim (x^{2} cos (\frac{9}{x}))

integral of (2x)/(9x^2-12x+8)

\int \frac{2 x}{9 x ^{2} - 12 x + 8} d x

Frequently Asked Questions (FAQ)

What is the solution for y^'+9xe^y=0 ?
The solution for y^'+9xe^y=0 is y=-ln((9x^2)/2-c_{1})