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Popular >

y^'=x+3y

Solution

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

Solution

y = - \frac{3 x + 1}{9} + c_{1} e^{3 x}

Solution steps

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

Solve linear ODE:

y = - \frac{3 x + 1}{9} + c_{1} e^{3 x}

y = - \frac{3 x + 1}{9} + c_{1} e^{3 x}

Popular Examples

derivative of (1-2x)^{1/2}derivative of

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

integral of 1/((x+1)sqrt(x^2+2x-3))

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

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

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

derivative of cos(ln(t))derivative of

cos (ln (t))

x(dy)/(dx)+4y=x^{-3}e^x

x \frac{d y}{d x} + 4 y = x^{- 3} e^{x}

Frequently Asked Questions (FAQ)

What is the solution for y^'=x+3y ?
The solution for y^'=x+3y is y=-(3x+1)/9+c_{1}e^{3x}