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Popular >

(dy)/(dt)-4/t*y=t^5

Solution

\frac{d y}{d t} - \frac{4}{t} \cdot y = t^{5}

Solution

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

Solution steps

\frac{d y}{d t} - \frac{4}{t} \cdot y = t^{5}

Solve linear ODE:

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

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

Popular Examples

integral of (cos(3pi)x)/2

\int \frac{cos ( 3 π ) x}{2} d x

simplify 1/6 t^3 simplify

\frac{1}{6} t^{3}

(\partial)/(\partial x)((x^3-y^2)^{(-1)})

\frac{\partial}{\partial x} ((x^{3} - y^{2})^{(- 1)})

3y^{''}-4y^'-15y=0,y(0)=-7,y^'(0)=-2

3 y^{^{''}} - 4 y^{^{'}} - 15 y = 0, y (0) = - 7, y^{^{'}} (0) = - 2

derivative of (9x^2-18x+18e^x)

\frac{d}{d x} ((9 x^{2} - 18 x + 18) e^{x})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)-4/t*y=t^5 ?
The solution for (dy)/(dt)-4/t*y=t^5 is y=(t^6)/2+c_{1}t^4