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Popular >

(dy)/(dx)= y/x+2x+1

Solution

\frac{d y}{d x} = \frac{y}{x} + 2 x + 1

Solution

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

Solution steps

\frac{d y}{d x} = \frac{y}{x} + 2 x + 1

Solve linear ODE:

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

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

Popular Examples

limit as x approaches infinity of \sqrt[x]{3^x+4^x}

derivative of 4-3x^2

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

derivative of 4x^{5/4}+2x^{3/2}+4x derivative of

4 x^{\frac{5}{4}} + 2 x^{\frac{3}{2}} + 4 x

integral of (4x^2-1)/((x^2+4)(2-x))

\int \frac{4 x ^{2} - 1}{( x ^{2} + 4 ) ( 2 - x )} d x

f (x) = - \frac{x}{4}

Frequently Asked Questions (FAQ)

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