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Popular >

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

Solution

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

Solution

y = \frac{t ^{4}}{6} + \frac{c _{1}}{t ^{2}}

Solution steps

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

Solve linear ODE:

y = \frac{t ^{4}}{6} + \frac{c _{1}}{t ^{2}}

y = \frac{t ^{4}}{6} + \frac{c _{1}}{t ^{2}}

Popular Examples

(\partial)/(\partial y)(xln(y)-yln(x))

\frac{\partial}{\partial y} (x ln (y) - y ln (x))

integral of (x^4-x^3+2x^2-2x-8)/(x^2+4)

\int \frac{x ^{4} - x ^{3} + 2 x ^{2} - 2 x - 8}{x ^{2} + 4} d x

limit as x approaches 4 of x/(x^2-3x)

x \to 4 lim (\frac{x}{x ^{2} - 3 x})

y^{^{'}} = (x + 1) y^{2}

integral of (x^3)/(x^2+5)

\int \frac{x ^{3}}{x ^{2} + 5} d x

Frequently Asked Questions (FAQ)

What is the solution for t(dy)/(dt)+2y=t^4 ?
The solution for t(dy)/(dt)+2y=t^4 is y=(t^4)/6+(c_{1})/(t^2)