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Popular >

y^'=xy-3y

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

limit as x approaches 8 of x^{2/3}

x \to 8 lim (x^{\frac{2}{3}})

(d^2)/(dy^2)(ln(sqrt(x^2+y^2)))

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

integral of 1/(cos^2(2x))

\int \frac{1}{cos ^{2} ( 2 x )} d x

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

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

(\partial)/(\partial x)(2^{1/x})

\frac{\partial}{\partial x} (2^{\frac{1}{x}})

Frequently Asked Questions (FAQ)

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