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Popular >

(dy)/(dx)+2/x y=4x

Solution

\frac{d y}{d x} + \frac{2}{x} y = 4 x

Solution

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

Solution steps

\frac{d y}{d x} + \frac{2}{x} y = 4 x

Solve linear ODE:

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

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

Popular Examples

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\int_{3}^{8} \frac{1}{x ^{2} - 1} d x

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y = x^{2} - 6

limit as x approaches infinity of 0+x

x \to \infty lim (0 + x)

d/(dc)((sin(2c))/(2-cos(2c)))

\frac{d}{d c} (\frac{sin ( 2 c )}{2 - cos ( 2 c )})

integral of 3/(sqrt(1-9x^2))

\int \frac{3}{1 - 9 x ^{2}} d x

Frequently Asked Questions (FAQ)

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