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Popular >

t(dy)/(dt)+y=t^2

Solution

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

Solution

y = \frac{t ^{2}}{3} + \frac{c _{1}}{t}

Solution steps

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

Solve linear ODE:

y = \frac{t ^{2}}{3} + \frac{c _{1}}{t}

y = \frac{t ^{2}}{3} + \frac{c _{1}}{t}

Popular Examples

integral of t/(t^2+1)

\int \frac{t}{t ^{2} + 1} d t

sum from n=1 to infinity of (n+1)x^n

n = 1 \sum \infty (n + 1) x^{n}

derivative of (ln(x))/(x^2)derivative of

\frac{ln ( x )}{x ^{2}}

limit as x approaches 0+of (2^x)/(3^x)

x \to 0 + lim (\frac{2 ^{x}}{3 ^{x}})

integral of ((x+1))/(x^2+2x+8)

\int \frac{( x + 1 )}{x ^{2} + 2 x + 8} d x

Frequently Asked Questions (FAQ)

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