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Popular >

xy^'-y=x^2+2x+1

Solution

x y^{^{'}} - y = x^{2} + 2 x + 1

Solution

y = x^{2} + 2 x ln (x) - 1 + c_{1} x

Solution steps

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

Solve linear ODE:

y = x^{2} + 2 x ln (x) - 1 + c_{1} x

y = x^{2} + 2 x ln (x) - 1 + c_{1} x

Popular Examples

integral of x^3(4x^2+5)

\int x^{3} (4 x^{2} + 5) d x

integral of 1/(x^{9/2)}

\int \frac{1}{x ^{\frac{9}{2}}} d x

inverse oflaplace (6(s+34))/(s(s^2+10s+34))inverse laplace

\frac{6 ( s + 34 )}{s ( s ^{2} + 10 s + 34 )}

normal of f(x)=x^4+5e^x,(0,5)normal of

f (x) = x^{4} + 5 e^{x}, (0, 5)

derivative of f(x)=ax derivative of

f (x) = a x

Frequently Asked Questions (FAQ)

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