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Popular >

y^'+2/x y= 1/(x^2)

Solution

y^{^{'}} + \frac{2}{x} y = \frac{1}{x ^{2}}

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

derivative of (3x^2+2x-1/((1+3x^2)^2))

\frac{d}{d x} (\frac{3 x ^{2} + 2 x - 1}{( 1 + 3 x ^{2} ) ^{2}})

y^'=2(t+1)y,y(0)=1

y^{^{'}} = 2 (t + 1) y, y (0) = 1

y^{''}+2*y^'+y=e^{-t}

y^{^{''}} + 2 \cdot y^{^{'}} + y = e^{- t}

sum from n=0 to infinity of 1/(2^nn!)

n = 0 \sum \infty \frac{1}{2 ^{n} n !}

derivative of f(x)=((x^3+1))/((x^4+1))derivative of

f (x) = \frac{( x ^{3} + 1 )}{( x ^{4} + 1 )}

Frequently Asked Questions (FAQ)

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