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Popular >

t^2(dy)/(dt)+ty=4

Solution

t^{2} \frac{d y}{d t} + t y = 4

Solution

y = \frac{4 ln ( t )}{t} + \frac{c _{1}}{t}

Solution steps

t^{2} \frac{d y}{d t} + t y = 4

Solve linear ODE:

y = \frac{4 ln ( t )}{t} + \frac{c _{1}}{t}

y = \frac{4 ln ( t )}{t} + \frac{c _{1}}{t}

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sum from n=1 to infinity of 3/(4+6n)

n = 1 \sum \infty \frac{3}{4 + 6 n}

Frequently Asked Questions (FAQ)

What is the solution for t^2(dy)/(dt)+ty=4 ?
The solution for t^2(dy)/(dt)+ty=4 is y=(4ln(t))/t+(c_{1})/t