What is the solution for (dy)/(dx)=4xe^{2y} ?

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

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(dy)/(dx)=4xe^{2y}

\frac{d y}{d x} = 4 x e^{2 y}

y = - \frac{ln ( - 4 x ^{2} - c _{1} )}{2}

Solution steps

\frac{d y}{d x} = 4 x e^{2 y}

Solve separable ODE:

y = - \frac{ln ( - 4 x ^{2} - c _{1} )}{2}

y = - \frac{ln ( - 4 x ^{2} - c _{1} )}{2}

\frac{1}{c}

f (x) = tan (x) + x, at x = \frac{π}{4}

x \to - 2 lim (- 6)

\frac{d}{d x} (\frac{x ^{3}}{( x + 1 ) ^{2}})

\int 3 x x + 3 d x

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