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Popular >

t^2y^'+ty=3,y(1)=6

Solution

t^{2} y^{^{'}} + t y = 3, y (1) = 6

Solution

y = \frac{3 ln ( t )}{t} + \frac{6}{t}

Solution steps

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

Solve linear ODE:

y = \frac{3 ln ( t )}{t} + \frac{6}{t}

y = \frac{3 ln ( t )}{t} + \frac{6}{t}

Graph

Popular Examples

derivative of f(x)=9x derivative of

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

derivative of (x^2)/((3+x))derivative of

\frac{x ^{2}}{( 3 + x )}

integral of 1/(9x+4)

\int \frac{1}{9 x + 4} d x

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\int \frac{3 x + 1}{x ^{\frac{2}{3}}} d x

Frequently Asked Questions (FAQ)

What is the solution for t^2y^'+ty=3,y(1)=6 ?
The solution for t^2y^'+ty=3,y(1)=6 is y=(3ln(t))/t+6/t