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Popular >

y^'-2/t y=t^2e^t

Solution

y^{^{'}} - \frac{2}{t} y = t^{2} e^{t}

Solution

y = e^{t} t^{2} + c_{1} t^{2}

Solution steps

y^{'} (t) - \frac{2}{t} y = t^{2} e^{t}

Solve linear ODE:

y = e^{t} t^{2} + c_{1} t^{2}

y = e^{t} t^{2} + c_{1} t^{2}

Popular Examples

cos^2(x)sin(x)((dy)/(dx))+cos^3(x)y=1

cos^{2} (x) sin (x) (\frac{d y}{d x}) + cos^{3} (x) y = 1

\frac{d}{d y} (x^{6 y})

limit as x approaches-3 of (x+3)/(x-3)

x \to - 3 lim (\frac{x + 3}{x - 3})

derivative of (2x+1^4)

\frac{d}{d x} ((2 x + 1)^{4})

area y=3-x,y=(x^2)/4 ,x=2,x=1 area

y = 3 - x, y = \frac{x ^{2}}{4}, x = 2, x = 1

Frequently Asked Questions (FAQ)

What is the solution for y^'-2/t y=t^2e^t ?
The solution for y^'-2/t y=t^2e^t is y=e^tt^2+c_{1}t^2