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Popular >

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

Solution

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

Solution

y = \frac{t ^{6}}{3} + c_{1} t^{3}

Solution steps

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

Solve linear ODE:

y = \frac{t ^{6}}{3} + c_{1} t^{3}

y = \frac{t ^{6}}{3} + c_{1} t^{3}

Popular Examples

limit as x approaches 8 of-6x

x \to 8 lim (- 6 x)

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integral of (-2x-1)/((x^2+x+1)^6)

\int \frac{- 2 x - 1}{( x ^{2} + x + 1 ) ^{6}} d x

(dy)/(dx)=(y^2)/(x^2)

\frac{d y}{d x} = \frac{y ^{2}}{x ^{2}}

(\partial)/(\partial x)(12cos(6x)cos(4y))

\frac{\partial}{\partial x} (12 cos (6 x) cos (4 y))

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)= 3/t y+t^5 ?
The solution for (dy)/(dt)= 3/t y+t^5 is y=(t^6)/3+c_{1}t^3