What is the solution for (dy)/(dt)+0.1ty=2t,y(0)=3 ?

The solution for (dy)/(dt)+0.1ty=2t,y(0)=3 is y=20-(17)/(e^{0.05t^2)}

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(dy)/(dt)+0.1ty=2t,y(0)=3

\frac{d y}{d t} + 0.1 t y = 2 t, y (0) = 3

y = 20 - \frac{17}{e ^{0.05 t^{2}}}

Solution steps

\frac{d y}{d t} + 0.1 t y = 2 t

Solve linear ODE:

y = 20 - \frac{17}{e ^{0.05 t^{2}}}

y = 20 - \frac{17}{e ^{0.05 t^{2}}}

y^{\frac{1}{2}} y^{^{'}} + y^{\frac{3}{2}} = 1, y (0) = 4

\frac{\partial}{\partial x} (x \cdot y \cdot z)

y = x^{4} + 7 e^{x}, (0, 7)

\int \frac{x}{9 + x ^{4}} d x

ln (16 sin^{2} (x))

What is the solution for (dy)/(dt)+0.1ty=2t,y(0)=3 ?
The solution for (dy)/(dt)+0.1ty=2t,y(0)=3 is y=20-(17)/(e^{0.05t^2)}