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Popular >

(dy)/(dt)= 1/t y+3t

Solution

\frac{d y}{d t} = \frac{1}{t} y + 3 t

Solution

y = 3 t^{2} + c_{1} t

Solution steps

\frac{d y}{d t} = \frac{1}{t} y + 3 t

Solve linear ODE:

y = 3 t^{2} + c_{1} t

y = 3 t^{2} + c_{1} t

Popular Examples

inverse oflaplace (50)/(100s+0.01s^2)inverse laplace

\frac{50}{100 s + 0.01 s ^{2}}

integral of 4/(sqrt(16-x^2))

\int \frac{4}{16 - x ^{2}} d x

t^2y^{''}+19ty^'+82y=0

t^{2} y^{^{''}} + 19 t y^{^{'}} + 82 y = 0

slope of (9,-7),(4,-8)slope

(9, - 7), (4, - 8)

integral from 0 to 9 of 1/(sqrt(81-x^2))

\int_{0}^{9} \frac{1}{81 - x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)= 1/t y+3t ?
The solution for (dy)/(dt)= 1/t y+3t is y=3t^2+c_{1}t