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Popular >

(dy)/(dx)=kay

Solution

\frac{d y}{d x} = k \cdot a \cdot y

Solution

y = e^{ka x + c_{1}}

Solution steps

\frac{d y}{d x} = k \cdot a \cdot y

Solve separable ODE:

y = e^{ka x + c_{1}}

y = e^{ka x + c_{1}}

Graph

Popular Examples

(dy)/(dx)=e^{x+y+5}

\frac{d y}{d x} = e^{x + y + 5}

(dy)/(dx)(x^2+1)=-2xy

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

1(7+y)y^'=sin(13+x)

1 (7 + y) y^{^{'}} = sin (13 + x)

(dy}{dx}=\frac{-x)/y ,y(1)=2

\frac{d y}{d x} = \frac{- x}{y}, y (1) = 2

y^{^{'}} = x y, y (1) = 1

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=k*a*y ?
The solution for (dy)/(dx)=k*a*y is y=e^{kax+c_{1}}