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Popular >

t^2y^'+ty=3

Solution

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

Solution

y = \frac{3 ln ( t )}{t} + \frac{c _{1}}{t}

Solution steps

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

Solve linear ODE:

y = \frac{3 ln ( t )}{t} + \frac{c _{1}}{t}

y = \frac{3 ln ( t )}{t} + \frac{c _{1}}{t}

Popular Examples

integral of x/(sqrt(x^2))

\int \frac{x}{x ^{2}} d x

x^{2} y^{^{'}} + x y = 3 y^{3}

limit as x approaches 4 of (f(x))/(g(x))

x \to 4 lim (\frac{f ( x )}{g ( x )})

limit as x approaches 0 of xe^{-x^2}

x \to 0 lim (x e^{- x^{2}})

integral of 54sec^4(x)

\int 54 sec^{4} (x) d x

Frequently Asked Questions (FAQ)

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