What is the solution for (dy)/(dx)=y^2(e^xcos(3x)) ?

The solution for (dy)/(dx)=y^2(e^xcos(3x)) is y=-(10)/(3e^xsin(3x)+e^xcos(3x)+c_{1)}

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(dy)/(dx)=y^2(e^xcos(3x))

\frac{d y}{d x} = y^{2} (e^{x} cos (3 x))

y = - \frac{10}{3 e ^{x} sin ( 3 x ) + e ^{x} cos ( 3 x ) + c _{1}}

Solution steps

\frac{d y}{d x} = y^{2} (e^{x} cos (3 x))

Solve separable ODE:

y = - \frac{10}{3 e ^{x} sin ( 3 x ) + e ^{x} cos ( 3 x ) + c _{1}}

y = - \frac{10}{3 e ^{x} sin ( 3 x ) + e ^{x} cos ( 3 x ) + c _{1}}

\int \frac{17 x ^{3}}{3 + x ^{2}} d x

\int (x - \frac{5}{x}) d x

- 4 x^{2} + 200 x + 375

\frac{d}{d x} (sin (x) ln (x^{4} + \frac{1}{x}))

f (x) = x^{3} \cdot e^{3 x}

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