What is the solution for (dy)/(dt)+0.3ty=5t,y(0)=6 ?

The solution for (dy)/(dt)+0.3ty=5t,y(0)=6 is y=16.66666…-(10.66666…)/(e^{0.15t^2)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dt)+0.3ty=5t,y(0)=6

\frac{d y}{d t} + 0.3 t y = 5 t, y (0) = 6

y = 16.66666 \dots - \frac{10.66666 \dots}{e ^{0.15 t^{2}}}

Solution steps

\frac{d y}{d t} + 0.3 t y = 5 t

Solve linear ODE:

y = 16.66666 \dots - \frac{10.66666 \dots}{e ^{0.15 t^{2}}}

y = 16.66666 \dots - \frac{10.66666 \dots}{e ^{0.15 t^{2}}}

x \to 3 + lim (\frac{8}{x - 3})

\frac{d}{d x} (2 sin (x) - cos (x))

(e^{- 3 y}) y^{^{'}} = e^{8 x}, y (0) = 12

\frac{\partial}{\partial x} (yz e^{x z} - 2)

\int_{0}^{\infty} x e^{- \frac{x}{y}} d x

What is the solution for (dy)/(dt)+0.3ty=5t,y(0)=6 ?
The solution for (dy)/(dt)+0.3ty=5t,y(0)=6 is y=16.66666…-(10.66666…)/(e^{0.15t^2)}