What is the solution for (dy)/(dx)-y/x =3xe^x,y(1)=3e-2 ?

The solution for (dy)/(dx)-y/x =3xe^x,y(1)=3e-2 is y=3e^xx-2x

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(dy)/(dx)-y/x =3xe^x,y(1)=3e-2

\frac{d y}{d x} - \frac{y}{x} = 3 x e^{x}, y (1) = 3 e - 2

y = 3 e^{x} x - 2 x

Solution steps

\frac{d y}{d x} - \frac{y}{x} = 3 x e^{x}

Solve linear ODE:

y = 3 e^{x} x - 2 x

y = 3 e^{x} x - 2 x

y = - \frac{5 t}{( t + 8 ) ^{2}}

\int (x)^{3} arccos (x) d x

\int \frac{1}{1 + sin ( 2 x )} d x

\frac{2}{1 + x}

f (x) = \frac{x ^{3} + 2}{3 x}

What is the solution for (dy)/(dx)-y/x =3xe^x,y(1)=3e-2 ?
The solution for (dy)/(dx)-y/x =3xe^x,y(1)=3e-2 is y=3e^xx-2x