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Popular >

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

Solution

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

Solution

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

Solution steps

\frac{d y}{d 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

y^{''}-10y^'+25=0

y^{^{''}} - 10 y^{^{'}} + 25 = 0

derivative of ((cos(x)/(1+sin(x)))^5)

\frac{d}{d x} ((\frac{cos ( x )}{1 + sin ( x )})^{5})

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

\int \frac{x ^{3} + 2 x ^{2} + 3 x - 2}{x - 2} d x

taylor x^{11/2},1,x=1.4 taylor

x^{\frac{11}{2}}, 1, x = 1.4

integral of 2/x-4/(x^3)

\int \frac{2}{x} - \frac{4}{x ^{3}} d x

Frequently Asked Questions (FAQ)

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