What is the solution for (dy)/(dx)=21x^2e^{-y} ?

The solution for (dy)/(dx)=21x^2e^{-y} is y=ln(7x^3+c_{1})

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(dy)/(dx)=21x^2e^{-y}

\frac{d y}{d x} = 21 x^{2} e^{- y}

y = ln (7 x^{3} + c_{1})

Solution steps

\frac{d y}{d x} = 21 x^{2} e^{- y}

Solve separable ODE:

y = ln (7 x^{3} + c_{1})

y = ln (7 x^{3} + c_{1})

x + y = 2, x = y^{2} - 2 y

\frac{d}{d x} (\frac{( x ^{2} - 5 ) ^{3}}{125})

x \to \infty lim (\frac{k}{x})

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

y^{^{''}} + y = csc^{2} (x)

What is the solution for (dy)/(dx)=21x^2e^{-y} ?
The solution for (dy)/(dx)=21x^2e^{-y} is y=ln(7x^3+c_{1})