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Popular >

y^'-3xy=-y

Solution

y^{^{'}} - 3 x y = - y

Solution

y = e^{- x + \frac{3 x ^{2}}{2} + c_{1}}

Solution steps

y^{'} (x) - 3 x y = - y

Solve separable ODE:

y = e^{- x + \frac{3 x ^{2}}{2} + c_{1}}

y = e^{- x + \frac{3 x ^{2}}{2} + c_{1}}

Popular Examples

y^'=(9cos(9x))/(3+2y),y(0)=-1

y^{^{'}} = \frac{9 cos ( 9 x )}{3 + 2 y}, y (0) = - 1

(dy)/(dx)y=ln(sqrt(2x+5))

\frac{d y}{d x} y = ln (2 x + 5)

y^{^{'}} = 6 e^{2 x - y}

(dx)/(dt)= 5/(xe^{t+8x)}

\frac{d x}{d t} = \frac{5}{x e ^{t + 8 x}}

(dv}{dp}=\frac{-v)/p

\frac{d v}{d p} = \frac{- v}{p}

Frequently Asked Questions (FAQ)

What is the solution for y^'-3xy=-y ?
The solution for y^'-3xy=-y is y=e^{-x+(3x^2)/2+c_{1}}