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Popular >

(dy)/(dx)=-y

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

(\partial)/(\partial x)(2y-2cos(x))

\frac{\partial}{\partial x} (2 y - 2 cos (x))

6t^2y^{''}-12y=14t^2-1

6 t^{2} y^{^{''}} - 12 y = 14 t^{2} - 1

integral of x/((x+1)(x+2)(x+3))

\int \frac{x}{( x + 1 ) ( x + 2 ) ( x + 3 )} d x

derivative of (e^x/(3x))

\frac{d}{d x} (\frac{e ^{x}}{3 x})

(\partial)/(\partial x)(ln(x+y)+xcos(y))

\frac{\partial}{\partial x} (ln (x + y) + x cos (y))

Frequently Asked Questions (FAQ)

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