What is the solution for (dy)/(dx)=5xe^{4y} ?

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

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(dy)/(dx)=5xe^{4y}

\frac{d y}{d x} = 5 x e^{4 y}

y = - \frac{ln ( - 10 x ^{2} - c _{1} )}{4}

Solution steps

\frac{d y}{d x} = 5 x e^{4 y}

Solve separable ODE:

y = - \frac{ln ( - 10 x ^{2} - c _{1} )}{4}

y = - \frac{ln ( - 10 x ^{2} - c _{1} )}{4}

x \to 2 - lim (\frac{5}{x - 2})

\int e^{2 x} \cdot sin (- 3 x) d x

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

\int sin^{2} (x) \cdot cos^{5} (x) d x

f (x) = x^{2} - 3, at x = 2

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