What is the solution for (dy)/(dx)=-10x^3e^y ?

The solution for (dy)/(dx)=-10x^3e^y is y=-ln((5x^4)/2-c_{1})

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(dy)/(dx)=-10x^3e^y

\frac{d y}{d x} = - 10 x^{3} e^{y}

y = - ln (\frac{5 x ^{4}}{2} - c_{1})

Solution steps

\frac{d y}{d x} = - 10 x^{3} e^{y}

Solve separable ODE:

y = - ln (\frac{5 x ^{4}}{2} - c_{1})

y = - ln (\frac{5 x ^{4}}{2} - c_{1})

\frac{d x}{d t} = 0.075 x - 9000

(1 + x) y^{^{'}} + y = 0

\frac{d y}{d x} = \frac{- 3 x + 3 x y ^{2}}{y x ^{2} + 2 y}

\frac{d y}{d x} = x y + x - 2 y - 2

\frac{d y}{d x} = - \frac{7 sin ( 3 x )}{2 y}

What is the solution for (dy)/(dx)=-10x^3e^y ?
The solution for (dy)/(dx)=-10x^3e^y is y=-ln((5x^4)/2-c_{1})