What is the solution for 6t(dy)/(dt)+4y=sqrt(t) ?

The solution for 6t(dy)/(dt)+4y=sqrt(t) is y=(t^{1/2})/7+(c_{1})/(t^{2/3)}

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6t(dy)/(dt)+4y=sqrt(t)

6 t \frac{d y}{d t} + 4 y = t

y = \frac{t ^{\frac{1}{2}}}{7} + \frac{c _{1}}{t ^{\frac{2}{3}}}

Solution steps

6 t \frac{d y}{d t} + 4 y = t

Solve linear ODE:

y = \frac{t ^{\frac{1}{2}}}{7} + \frac{c _{1}}{t ^{\frac{2}{3}}}

y = \frac{t ^{\frac{1}{2}}}{7} + \frac{c _{1}}{t ^{\frac{2}{3}}}

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\frac{d}{d x} (- 4 cos^{2} (x))

n = 1 \sum \infty \frac{e}{π}

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What is the solution for 6t(dy)/(dt)+4y=sqrt(t) ?
The solution for 6t(dy)/(dt)+4y=sqrt(t) is y=(t^{1/2})/7+(c_{1})/(t^{2/3)}