en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dt)-2/t y=t^5

Solution

\frac{d y}{d t} - \frac{2}{t} y = t^{5}

Solution

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

Solution steps

\frac{d y}{d t} - \frac{2}{t} y = t^{5}

Solve linear ODE:

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

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

Graph

Popular Examples

integral of (1/x-5/(x^2+1))

\int (\frac{1}{x} - \frac{5}{x ^{2} + 1}) d x

inverse oflaplace (s+2)/(s(s+2)+1)inverse laplace

\frac{s + 2}{s ( s + 2 ) + 1}

derivative of sqrt((3x+1/(2x-1)))

\frac{d}{d x} (\frac{3 x + 1}{2 x - 1})

inverse oflaplace 1/(s(s+4))inverse laplace

\frac{1}{s ( s + 4 )}

tangent of (6e^xcos(x))(0.6)tangent of

(6 e^{x} cos (x)) (0.6)

Frequently Asked Questions (FAQ)

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