What is the solution for (dy}{dx}=\frac{e^x-cos(2x))/y ,y(0)=2 ?

The solution for (dy}{dx}=\frac{e^x-cos(2x))/y ,y(0)=2 is y=sqrt(2e^x-sin(2x)+2)

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(dy}{dx}=\frac{e^x-cos(2x))/y ,y(0)=2

\frac{d y}{d x} = \frac{e ^{x} - cos ( 2 x )}{y}, y (0) = 2

y = 2 e^{x} - sin (2 x) + 2

Solution steps

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

Solve separable ODE:

y = 2 e^{x} - sin (2 x) + 2

y = 2 e^{x} - sin (2 x) + 2

What is the solution for (dy}{dx}=\frac{e^x-cos(2x))/y ,y(0)=2 ?
The solution for (dy}{dx}=\frac{e^x-cos(2x))/y ,y(0)=2 is y=sqrt(2e^x-sin(2x)+2)