en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=-ky

Solution

\frac{d y}{d x} = - k y

Solution

y = e^{- k x + c_{1}}

Solution steps

\frac{d y}{d x} = - k y (x)

Solve separable ODE:

y = e^{- k x + c_{1}}

y = e^{- k x + c_{1}}

Popular Examples

limit as x approaches 3 of |x+1|+|x-1|

x \to 3 lim (∣ x + 1 ∣ + ∣ x - 1 ∣)

derivative of arcsec(5x)derivative of

arcsec (5 x)

(\partial}{\partial L}(L^{1/4)/K ^{1/4})

\frac{\partial}{\partial L} (L^{\frac{1}{4}} K^{\frac{1}{4}})

(\partial)/(\partial x)((4xy-5)^2)

\frac{\partial}{\partial x} ((4 x y - 5)^{2})

area e^{(x/4)},x=4,y=1 area

e^{(\frac{x}{4})}, x = 4, y = 1

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=-ky ?
The solution for (dy)/(dx)=-ky is y=e^{-kx+c_{1}}