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Popular >

(dy)/(dx)=x+6y

Solution

\frac{d y}{d x} = x + 6 y

Solution

y = - \frac{6 x + 1}{36} + c_{1} e^{6 x}

Solution steps

\frac{d y}{d x} = x + 6 y

Solve linear ODE:

y = - \frac{6 x + 1}{36} + c_{1} e^{6 x}

y = - \frac{6 x + 1}{36} + c_{1} e^{6 x}

Popular Examples

(\partial)/(\partial x)(cos(x+5y))

\frac{\partial}{\partial x} (cos (x + 5 y))

tangent of (2x+5)(-x+2)tangent of

(2 x + 5) (- x + 2)

integral of (4x^3-x)/(6x^2-2x-1)

\int \frac{4 x ^{3} - x}{6 x ^{2} - 2 x - 1} d x

limit as x approaches 0 of ((3x^2-2x))/x

x \to 0 lim (\frac{( 3 x ^{2} - 2 x )}{x})

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

\frac{d y}{d x} = x^{2} (1 + y^{2})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=x+6y ?
The solution for (dy)/(dx)=x+6y is y=-(6x+1)/(36)+c_{1}e^{6x}