What is the solution for 2t(dy)/(dt)+y=t^4 ?

The solution for 2t(dy)/(dt)+y=t^4 is y=(t^4)/9+(c_{1})/(sqrt(t))

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2t(dy)/(dt)+y=t^4

2 t \frac{d y}{d t} + y = t^{4}

y = \frac{t ^{4}}{9} + \frac{c _{1}}{t}

Solution steps

2 t \frac{d y}{d t} + y = t^{4}

Solve linear ODE:

y = \frac{t ^{4}}{9} + \frac{c _{1}}{t}

y = \frac{t ^{4}}{9} + \frac{c _{1}}{t}

x \to - 2 - lim (4 x^{2} - 7)

\int \frac{sin ( 2 x )}{cos ^{2} ( x )} d x

x \to 0 lim (sin^{2} (x))

e^{3 t s i n (2 t)}

x \to 7 + lim (ln (x^{2} - 49))

What is the solution for 2t(dy)/(dt)+y=t^4 ?
The solution for 2t(dy)/(dt)+y=t^4 is y=(t^4)/9+(c_{1})/(sqrt(t))