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Popular >

t(dy)/(dt)+5y=t^3

Solution

t \frac{d y}{d t} + 5 y = t^{3}

Solution

y = \frac{t ^{3}}{8} + \frac{c _{1}}{t ^{5}}

Solution steps

t \frac{d y}{d t} + 5 y = t^{3}

Solve linear ODE:

y = \frac{t ^{3}}{8} + \frac{c _{1}}{t ^{5}}

y = \frac{t ^{3}}{8} + \frac{c _{1}}{t ^{5}}

Popular Examples

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

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

limit as x approaches infinity of 8x^2

x \to \infty lim (8 x^{2})

tangent of f(x)=5tan(x),\at x=1.57 tangent of

f (x) = 5 tan (x), at x = 1.57

integral of (cos(t))^2

\int (cos (t))^{2} d t

limit as x approaches 0 of (sin(3x))/(sin(6x))

x \to 0 lim (\frac{sin ( 3 x )}{sin ( 6 x )})

Frequently Asked Questions (FAQ)

What is the solution for t(dy)/(dt)+5y=t^3 ?
The solution for t(dy)/(dt)+5y=t^3 is y=(t^3)/8+(c_{1})/(t^5)