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Popular >

(dy)/(dt)t+5y=8t

Solution

\frac{d y}{d t} t + 5 y = 8 t

Solution

y = \frac{4 t}{3} + \frac{c _{1}}{t ^{5}}

Solution steps

\frac{d y}{d t} t + 5 y = 8 t

Solve linear ODE:

y = \frac{4 t}{3} + \frac{c _{1}}{t ^{5}}

y = \frac{4 t}{3} + \frac{c _{1}}{t ^{5}}

Popular Examples

d/(dt)((t^2)/(sqrt(t^3+1)))

\frac{d}{d t} (\frac{t ^{2}}{t ^{3} + 1})

derivative of-x^2sin(x)+4xcos(x)+2sin(x)derivative of

- x^{2} sin (x) + 4 x cos (x) + 2 sin (x)

integral of-8ln(x^2-1)

\int - 8 ln (x^{2} - 1) d x

integral from-2 to 3 of (x^2-12)-(x-6)

\int_{- 2}^{3} (x^{2} - 12) - (x - 6) d x

limit as x approaches 1 of sqrt(x)-1

x \to 1 lim (x - 1)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)t+5y=8t ?
The solution for (dy)/(dt)t+5y=8t is y=(4t)/3+(c_{1})/(t^5)