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Popular >

(dy)/(dx)=9x-y/x

Solution

\frac{d y}{d x} = 9 x - \frac{y}{x}

Solution

y = 3 x^{2} + \frac{c _{1}}{x}

Solution steps

\frac{d y}{d x} = 9 x - \frac{y}{x}

Solve linear ODE:

y = 3 x^{2} + \frac{c _{1}}{x}

y = 3 x^{2} + \frac{c _{1}}{x}

Popular Examples

y^{''}-2y^'=4t,y(0)=2,y^'(0)=0

y^{^{''}} - 2 y^{^{'}} = 4 t, y (0) = 2, y^{^{'}} (0) = 0

(\partial)/(\partial x)(-sqrt(x^2+y^2-1))

\frac{\partial}{\partial x} (- x^{2} + y^{2} - 1)

derivative of (6x-x^2^{1/2})

\frac{d}{d x} ((6 x - x^{2})^{\frac{1}{2}})

integral of tcos(t)sin(t)

\int t cos (t) sin (t) d t

derivative of 2/(7x^3)

\frac{d}{d x} (\frac{2}{7 x ^{3}})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=9x-y/x ?
The solution for (dy)/(dx)=9x-y/x is y=3x^2+(c_{1})/x