What is the solution for (dy)/(dt)=4t-0.1yt ?

The solution for (dy)/(dt)=4t-0.1yt is y=e^{-(t^2)/(20)+c_{1}}*10+40

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dt)=4t-0.1yt

\frac{d y}{d t} = 4 t - 0.1 y t

y = e^{- \frac{t ^{2}}{20} + c_{1}} \cdot 10 + 40

Solution steps

\frac{d y}{d t} = 4 t - 0.1 y t

Solve separable ODE:

y = e^{- \frac{t ^{2}}{20} + c_{1}} \cdot 10 + 40

y = e^{- \frac{t ^{2}}{20} + c_{1}} \cdot 10 + 40

x^{2} - 5 x + 1

- \frac{2 x ^{2}}{5 y ^{2}}

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

x \to \infty lim (∣ 2 - x ∣)

\frac{\partial}{\partial x} (cos (8 y - 3 x))

What is the solution for (dy)/(dt)=4t-0.1yt ?
The solution for (dy)/(dt)=4t-0.1yt is y=e^{-(t^2)/(20)+c_{1}}*10+40