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Popular >

x(dy)/(dx)+2y=8x^2

Solution

x \frac{d y}{d x} + 2 y = 8 x^{2}

Solution

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

Solution steps

x \frac{d y}{d x} + 2 y = 8 x^{2}

Solve linear ODE:

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

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

Popular Examples

sum from n=0 to infinity of 5/(4^n)

n = 0 \sum \infty \frac{5}{4 ^{n}}

integral of ln(6x+7)

\int ln (6 x + 7) d x

(1+cos(t))y^'=(1-e^{-y})sin(t)

(1 + cos (t)) y^{^{'}} = (1 - e^{- y}) sin (t)

integral of x^2(x^3-4)^3

\int x^{2} (x^{3} - 4)^{3} d x

derivative of (6x/(x^2+3))

\frac{d}{d x} (\frac{6 x}{x ^{2} + 3})

Frequently Asked Questions (FAQ)

What is the solution for x(dy)/(dx)+2y=8x^2 ?
The solution for x(dy)/(dx)+2y=8x^2 is y=2x^2+(c_{1})/(x^2)