What is the solution for (dy)/(dx)=y^2e^xsin(2x),y(0)=1 ?

The solution for (dy)/(dx)=y^2e^xsin(2x),y(0)=1 is y=-5/(-2e^xcos(2x)+e^xsin(2x)-3)

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(dy)/(dx)=y^2e^xsin(2x),y(0)=1

\frac{d y}{d x} = y^{2} e^{x} sin (2 x), y (0) = 1

y = - \frac{5}{- 2 e ^{x} cos ( 2 x ) + e ^{x} sin ( 2 x ) - 3}

Solution steps

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

Solve separable ODE:

y = - \frac{5}{- 2 e ^{x} cos ( 2 x ) + e ^{x} sin ( 2 x ) - 3}

y = - \frac{5}{- 2 e ^{x} cos ( 2 x ) + e ^{x} sin ( 2 x ) - 3}

What is the solution for (dy)/(dx)=y^2e^xsin(2x),y(0)=1 ?
The solution for (dy)/(dx)=y^2e^xsin(2x),y(0)=1 is y=-5/(-2e^xcos(2x)+e^xsin(2x)-3)