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Popular >

y^'+2xy=y+4x-2

Solution

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

Solution

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

Solution steps

y^{'} (x) + 2 x y = y + 4 x - 2

Solve separable ODE:

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

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

Popular Examples

derivative of 1/(1+e^x)

\frac{d}{d x} (\frac{1}{1 + e ^{x}})

(\partial)/(\partial y)(3x^2+y^2)

\frac{\partial}{\partial y} (3 x^{2} + y^{2})

3xy^'+4y=sqrt(x/y)

3 x y^{^{'}} + 4 y = \frac{x}{y}

laplacetransform 1+3t+3t^2 laplace transform

1 + 3 t + 3 t^{2}

derivative of (sin(x+1)/(e^x))

\frac{d}{d x} (\frac{sin ( x + 1 )}{e ^{x}})

Frequently Asked Questions (FAQ)

What is the solution for y^'+2xy=y+4x-2 ?
The solution for y^'+2xy=y+4x-2 is y=e^{x-x^2+c_{1}}+2