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Popular >

y^'+y=(x+1)^2

Solution

y^{^{'}} + y = (x + 1)^{2}

Solution

y = x^{2} + 1 + \frac{c _{1}}{e ^{x}}

Solution steps

y^{'} (x) + y = (x + 1)^{2}

Solve linear ODE:

y = x^{2} + 1 + \frac{c _{1}}{e ^{x}}

y = x^{2} + 1 + \frac{c _{1}}{e ^{x}}

Popular Examples

integral of (10)/(x^2+1)

\int \frac{10}{x ^{2} + 1} d x

integral of (x^2)/((x+6)^3)

\int \frac{x ^{2}}{( x + 6 ) ^{3}} d x

d/(dy)(sqrt(17-x^2-4y^2))

\frac{d}{d y} (17 - x^{2} - 4 y^{2})

integral of (e^x-2/(sqrt(x)))

\int (e^{x} - \frac{2}{x}) d x

(\partial)/(\partial x)(sin(x+xy+z^2))

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

Frequently Asked Questions (FAQ)

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