What is the solution for (6tdy)/(dt)+y=t^6 ?

The solution for (6tdy)/(dt)+y=t^6 is y=(t^6)/(37)+(c_{1})/(\sqrt[6]{t)}

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(6tdy)/(dt)+y=t^6

\frac{6 t d y}{d t} + y = t^{6}

y = \frac{t ^{6}}{37} + \frac{c _{1}}{6 t}

Solution steps

\frac{6 t d y}{d t} + y = t^{6}

Solve linear ODE:

y = \frac{t ^{6}}{37} + \frac{c _{1}}{6 t}

y = \frac{t ^{6}}{37} + \frac{c _{1}}{6 t}

\frac{d}{d x} (sin (3))

x \to 0 + lim (\frac{1}{x ^{\frac{3}{2}}})

\frac{d p}{( p - 2 )} = (1 - 2 t) d t

\frac{d x}{d t} = 0.03 x + 3600 t

\frac{2}{3 x + 5}

What is the solution for (6tdy)/(dt)+y=t^6 ?
The solution for (6tdy)/(dt)+y=t^6 is y=(t^6)/(37)+(c_{1})/(\sqrt[6]{t)}