What is the solution for (dy)/(dx)=y^2e^xsin(9x),y(0)=1 ?

The solution for (dy)/(dx)=y^2e^xsin(9x),y(0)=1 is y=-(82)/(-9e^xcos(9x)+e^xsin(9x)-73)

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(dy)/(dx)=y^2e^xsin(9x),y(0)=1

\frac{d y}{d x} = y^{2} e^{x} sin (9 x), y (0) = 1

y = - \frac{82}{- 9 e ^{x} cos ( 9 x ) + e ^{x} sin ( 9 x ) - 73}

Solution steps

\frac{d y}{d x} = y^{2} e^{x} sin (9 x)

Solve separable ODE:

y = - \frac{82}{- 9 e ^{x} cos ( 9 x ) + e ^{x} sin ( 9 x ) - 73}

y = - \frac{82}{- 9 e ^{x} cos ( 9 x ) + e ^{x} sin ( 9 x ) - 73}

What is the solution for (dy)/(dx)=y^2e^xsin(9x),y(0)=1 ?
The solution for (dy)/(dx)=y^2e^xsin(9x),y(0)=1 is y=-(82)/(-9e^xcos(9x)+e^xsin(9x)-73)