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Popular >

(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

Popular Examples

(\partial)/(\partial x)(te^{xt})

\frac{\partial}{\partial x} (t e^{x t})

derivative of y=e^{5e^x}derivative of

y = e^{5 e^{x}}

integral of 4x-9

\int 4 x - 9 d x

h^'(s)=sqrt(3+5sin(s))

h^{^{'}} (s) = 3 + 5 sin (s)

integral of 8xcos(9x)

\int 8 x cos (9 x) d x

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