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Popular >

(dy)/(dx)=-10y

Solution

\frac{d y}{d x} = - 10 y

Solution

y = e^{- 10 x + c_{1}}

Solution steps

\frac{d y}{d x} = - 10 y

Solve separable ODE:

y = e^{- 10 x + c_{1}}

y = e^{- 10 x + c_{1}}

Popular Examples

derivative of f(x)=(x^3+2x+7)/(x^2-5)derivative of

f (x) = \frac{x ^{3} + 2 x + 7}{x ^{2} - 5}

integral from 1 to 1.5 of 2/5 (x+1)

\int_{1}^{1.5} \frac{2}{5} (x + 1) d x

derivative of f(t)=6t^3-54t^2+70 derivative of

f (t) = 6 t^{3} - 54 t^{2} + 70

derivative of 1/(\sqrt[3]{x^3+1})

(10-6y+e^{-3x})dx-2dy=0

(10 - 6 y + e^{- 3 x}) d x - 2 d y = 0

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=-10y ?
The solution for (dy)/(dx)=-10y is y=e^{-10x+c_{1}}