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Popular >

(dy)/(dx)=2y+x

Solution

\frac{d y}{d x} = 2 y + x

Solution

y = - \frac{2 x + 1}{4} + c_{1} e^{2 x}

Solution steps

\frac{d y}{d x} = 2 y + x

Solve linear ODE:

y = - \frac{2 x + 1}{4} + c_{1} e^{2 x}

y = - \frac{2 x + 1}{4} + c_{1} e^{2 x}

Popular Examples

integral of cos^3(x/(17))

\int cos^{3} (\frac{x}{17}) d x

implicit (dy)/(dx),sin(xy^3)=y^3 implicit derivative

\frac{d y}{d x}, sin (x y^{3}) = y^{3}

integral of (sqrt(1-x^2))/4

\int \frac{1 - x ^{2}}{4} d x

tangent of cos^3(x),\at x=0 tangent of

cos^{3} (x), at x = 0

derivative of (2x^3)/3-12x derivative of

\frac{2 x ^{3}}{3} - 12 x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=2y+x ?
The solution for (dy)/(dx)=2y+x is y=-(2x+1)/4+c_{1}e^{2x}