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Popular Calculus >

t(dy)/(dt)+3y=3t

Solution

t \frac{d y}{d t} + 3 y = 3 t

Solution

y = \frac{3 t}{4} + \frac{c _{1}}{t ^{3}}

Solution steps

t \frac{d y}{d t} + 3 y = 3 t

Solve linear ODE:

y = \frac{3 t}{4} + \frac{c _{1}}{t ^{3}}

y = \frac{3 t}{4} + \frac{c _{1}}{t ^{3}}

Graph

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Frequently Asked Questions (FAQ)

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