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Popular >

y^'-y+x^2=0

Solution

y^{^{'}} - y + x^{2} = 0

Solution

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

Solution steps

y^{'} (x) - y + x^{2} = 0

Solve linear ODE:

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

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

Popular Examples

integral from 3 to 6 of 1/(x^2-1)

\int_{3}^{6} \frac{1}{x ^{2} - 1} d x

integral of x^{2/9}

\int x^{\frac{2}{9}} d x

(\partial)/(\partial y)(ln(x+8y+5z))

\frac{\partial}{\partial y} (ln (x + 8 y + 5 z))

(dy)/(dx)-2xy=-6x^2e^{x^2}

\frac{d y}{d x} - 2 x y = - 6 x^{2} e^{x^{2}}

limit as x approaches 0 of (sin(c)x)/x

x \to 0 lim (\frac{sin ( c ) x}{x})

Frequently Asked Questions (FAQ)

What is the solution for y^'-y+x^2=0 ?
The solution for y^'-y+x^2=0 is y=x^2+2x+2+c_{1}e^x