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Popular >

xy^'=y+x,y(1)=1

Solution

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

Solution

y = x ln (x) + x

Solution steps

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

Solve linear ODE:

y = x ln (x) + x

y = x ln (x) + x

Popular Examples

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10 ln (0.5) x

integral of x^3cos(4x)

\int x^{3} cos (4 x) d x

derivative of a derivative of

a

(y^2+8)dx=ysec^2(x)dy

(y^{2} + 8) d x = y sec^{2} (x) d y

integral of 3(3x-1)^4

\int 3 (3 x - 1)^{4} d x

Frequently Asked Questions (FAQ)

What is the solution for xy^'=y+x,y(1)=1 ?
The solution for xy^'=y+x,y(1)=1 is y=xln(x)+x