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Popular >

(dy)/(dx)=-1/2 y

Solution

\frac{d y}{d x} = - \frac{1}{2} y

Solution

y = e^{\frac{- x - c _{1}}{2}}

Solution steps

\frac{d y}{d x} = - \frac{1}{2} y

Solve separable ODE:

y = e^{\frac{- x - c _{1}}{2}}

y = e^{\frac{- x - c _{1}}{2}}

Popular Examples

derivative of f(x)=((x^2-1))/(x^2+1)derivative of

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

integral of 5x^2+(2/x)^4

\int 5 x^{2} + (\frac{2}{x})^{4} d x

(d^2y)/(dx^2)+y=0

\frac{d ^{2} y}{d x ^{2}} + y = 0

y^'-1/x y=x^2e^x

y^{^{'}} - \frac{1}{x} y = x^{2} e^{x}

derivative of (cos(2x)/(sin(3x)))

\frac{d}{d x} (\frac{cos ( 2 x )}{sin ( 3 x )})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=-1/2 y ?
The solution for (dy)/(dx)=-1/2 y is y=e^{(-x-c_{1})/2}