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Popular >

y^'=y-x^2

Solution

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

Solution

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

Solution steps

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

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

(x e^{4 x})^{^{'}}

derivative of arcsin(x^3)derivative of

arcsin (x^{3})

f(x)=sqrt(7-x^3)

f (x) = 7 - x^{3}

derivative of (5x/(x^2+4))

\frac{d}{d x} (\frac{5 x}{x ^{2} + 4})

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

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

Frequently Asked Questions (FAQ)

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