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Popular >

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

Solution

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

Solution

y = \frac{x}{2} + \frac{c _{1}}{x}

Solution steps

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

Solve linear ODE:

y = \frac{x}{2} + \frac{c _{1}}{x}

y = \frac{x}{2} + \frac{c _{1}}{x}

Popular Examples

integral of (xe^{3x})

\int (x e^{3 x}) d x

integral of 1/(xln(4x))

\int \frac{1}{x ln ( 4 x )} d x

derivative of y=((4x^2-5)/(2-x))^3 derivative of

y = (\frac{4 x ^{2} - 5}{2 - x})^{3}

y^'-2/x y=(y^3)/(x^2),y(1)=1

y^{^{'}} - \frac{2}{x} y = \frac{y ^{3}}{x ^{2}}, y (1) = 1

d/(ds)(1/(s^2-1))

\frac{d}{d s} (\frac{1}{s ^{2} - 1})

Frequently Asked Questions (FAQ)

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