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Popular >

y^'=3xe^y

Solution

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

Solution

y = - ln (- \frac{3 x ^{2}}{2} - c_{1})

Solution steps

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

Solve separable ODE:

y = - ln (- \frac{3 x ^{2}}{2} - c_{1})

y = - ln (- \frac{3 x ^{2}}{2} - c_{1})

Popular Examples

(t^2-10t+21)y^'=y

(t^{2} - 10 t + 21) y^{^{'}} = y

(dy)/(dx)=10x^9y

\frac{d y}{d x} = 10 x^{9} y

y^'=xy^3(1+x^2)^{(-1)/2}

y^{^{'}} = x y^{3} (1 + x^{2})^{\frac{- 1}{2}}

(x^2+2x)/(x+1)y^'-1/(y^3)=0

\frac{x ^{2} + 2 x}{x + 1} y^{^{'}} - \frac{1}{y ^{3}} = 0

t^2(dy)/(dt)-t=1+y+ty,y(1)=2

t^{2} \frac{d y}{d t} - t = 1 + y + t y, y (1) = 2

Frequently Asked Questions (FAQ)

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