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Popular >

(dy)/(dx)+20xy=0

Solution

\frac{d y}{d x} + 20 x y = 0

Solution

y = e^{- 10 x^{2} + c_{1}}

Solution steps

\frac{d y}{d x} + 20 x y = 0

Solve separable ODE:

y = e^{- 10 x^{2} + c_{1}}

y = e^{- 10 x^{2} + c_{1}}

Popular Examples

y^{^{'}} = 2 x y - 4 x

y^'sec(x)=8y^2,y(pi/2)= 1/3

y^{^{'}} sec (x) = 8 y^{2}, y (\frac{π}{2}) = \frac{1}{3}

(dP)/(dt)=7sqrt(Pt),P(1)=7

\frac{d P}{d t} = 7 Pt, P (1) = 7

(dy)/(dx)=6\sqrt[4]{xy}

(dy)/(dt)=cos^2(y)

\frac{d y}{d t} = cos^{2} (y)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)+20xy=0 ?
The solution for (dy)/(dx)+20xy=0 is y=e^{-10x^2+c_{1}}