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Popular >

y^'=-x^2-1/x*y

Solution

y^{^{'}} = - x^{2} - \frac{1}{x} \cdot y

Solution

y = - \frac{x ^{3}}{4} + \frac{c _{1}}{x}

Solution steps

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

Solve linear ODE:

y = - \frac{x ^{3}}{4} + \frac{c _{1}}{x}

y = - \frac{x ^{3}}{4} + \frac{c _{1}}{x}

Graph

Popular Examples

integral of 1/(sqrt(1-64x^2))

\int \frac{1}{1 - 64 x ^{2}} d x

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

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

sum from n=2 to infinity of 1/n (-1)^n

n = 2 \sum \infty \frac{1}{n} (- 1)^{n}

area y^2=16-x,(y+2)^2=x+4 area

y^{2} = 16 - x, (y + 2)^{2} = x + 4

derivative of (e^s)/(7s+1)derivative of

\frac{e ^{s}}{7 s + 1}

Frequently Asked Questions (FAQ)

What is the solution for y^'=-x^2-1/x*y ?
The solution for y^'=-x^2-1/x*y is y=-(x^3)/4+(c_{1})/x