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Popular >

xy^{''}+y^'=x

Solution

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

Solution

y = c_{1} + c_{2} ln (x) + \frac{x ^{2}}{4}

Solution steps

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

Solve linear ODE:

y = c_{1} + c_{2} ln (x) + \frac{x ^{2}}{4}

y = c_{1} + c_{2} ln (x) + \frac{x ^{2}}{4}

Popular Examples

derivative of (3x+4)/(7x-5)derivative of

\frac{3 x + 4}{7 x - 5}

a y^{^{'}} + b y = 0

4tx(dx)/(dt)=x^2+1

4 t x \frac{d x}{d t} = x^{2} + 1

(\partial)/(\partial z)(cos(kz-wt))

\frac{\partial}{\partial z} (cos (k z - wt))

inverse oflaplace 1/(2s^2+s+1)inverse laplace

\frac{1}{2 s ^{2} + s + 1}

Frequently Asked Questions (FAQ)

What is the solution for xy^{''}+y^'=x ?
The solution for xy^{''}+y^'=x is y=c_{1}+c_{2}ln(x)+(x^2)/4