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Popular >

ty^'+2y=3t^2-3t

Solution

t y^{^{'}} + 2 y = 3 t^{2} - 3 t

Solution

y = \frac{3 t ^{2}}{4} - t + \frac{c _{1}}{t ^{2}}

Solution steps

t y^{'} (t) + 2 y = 3 t^{2} - 3 t

Solve linear ODE:

y = \frac{3 t ^{2}}{4} - t + \frac{c _{1}}{t ^{2}}

y = \frac{3 t ^{2}}{4} - t + \frac{c _{1}}{t ^{2}}

Popular Examples

\int t d t

(d^2y)/(dt^2)-15(dy)/(dt)+50y=0

\frac{d ^{2} y}{d t ^{2}} - 15 \frac{d y}{d t} + 50 y = 0

(\partial)/(\partial x)(9e^{xy})

\frac{\partial}{\partial x} (9 e^{x y})

area 1/2 x^2,-x^2+6 area

\frac{1}{2} x^{2}, - x^{2} + 6

area y=x^2+1,y=x+3,(-1,2)area

y = x^{2} + 1, y = x + 3, (- 1, 2)

Frequently Asked Questions (FAQ)

What is the solution for ty^'+2y=3t^2-3t ?
The solution for ty^'+2y=3t^2-3t is y=(3t^2)/4-t+(c_{1})/(t^2)