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Popular >

(dy)/(dx)+ky=0

Solution

\frac{d y}{d x} + k y = 0

Solution

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

Solution steps

\frac{d y}{d x} + k y (x) = 0

Solve separable ODE:

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

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

Popular Examples

(dx)/(dy)=(5y)/(6x)

\frac{d x}{d y} = \frac{5 y}{6 x}

(dy)/(dx)=(1+y^2)/(2y)

\frac{d y}{d x} = \frac{1 + y ^{2}}{2 y}

(dy)/(dt)=-1/50 (y-23)

\frac{d y}{d t} = - \frac{1}{50} (y - 23)

y^'sec(x)=6y^2,y((9pi)/2)= 1/7

y^{^{'}} sec (x) = 6 y^{2}, y (\frac{9 π}{2}) = \frac{1}{7}

(x + 1) d x - y d y = 0

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)+ky=0 ?
The solution for (dy)/(dx)+ky=0 is y=e^{-kx+c_{1}}