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Popular >

(dy)/(dx)= y/x+8x+1

Solution

\frac{d y}{d x} = \frac{y}{x} + 8 x + 1

Solution

y = 8 x^{2} + x ln (x) + c_{1} x

Solution steps

\frac{d y}{d x} = \frac{y}{x} + 8 x + 1

Solve linear ODE:

y = 8 x^{2} + x ln (x) + c_{1} x

y = 8 x^{2} + x ln (x) + c_{1} x

Popular Examples

integral of 1/((x-43)^{0.98)}

\int \frac{1}{( x - 43 ) ^{0.98}} d x

integral of cos(7x-1)

\int cos (7 x - 1) d x

derivative of (2x+3(x^2-5))

\frac{d}{d x} ((2 x + 3) (x^{2} - 5))

(\partial)/(\partial x)(yze^{xz})

\frac{\partial}{\partial x} (yz e^{x z})

y^{'''}+y^{''}+8y^'-10y=0

y^{^{'''}} + y^{^{''}} + 8 y^{^{'}} - 10 y = 0

Frequently Asked Questions (FAQ)

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