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Popular Calculus >

(dy)/(dx)= y/x+4x+1

Solution

\frac{d y}{d x} = \frac{y}{x} + 4 x + 1

Solution

y = 4 x^{2} + x ln (x) + c_{1} x

Solution steps

\frac{d y}{d x} = \frac{y}{x} + 4 x + 1

Solve linear ODE:

y = 4 x^{2} + x ln (x) + c_{1} x

y = 4 x^{2} + x ln (x) + c_{1} x

Graph

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Frequently Asked Questions (FAQ)

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