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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

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