What is the solution for (dy)/(dx)=x+6y,y(0)=2 ?

The solution for (dy)/(dx)=x+6y,y(0)=2 is y=-(6x+1)/(36)+73/36 e^{6x}

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(dy)/(dx)=x+6y,y(0)=2

\frac{d y}{d x} = x + 6 y, y (0) = 2

y = - \frac{6 x + 1}{36} + \frac{73}{36} e^{6 x}

Solution steps

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

Solve linear ODE:

y = - \frac{6 x + 1}{36} + \frac{73}{36} e^{6 x}

y = - \frac{6 x + 1}{36} + \frac{73}{36} e^{6 x}

f (x) = \frac{4 x + 5}{x - 1}, (2, 13)

2 x, 2 x

n = 1 \sum \infty (\frac{1}{2})^{2 n - 1}

\frac{\partial}{\partial x} (x z)

2 x^{3} + 3 x^{2} - 12 x + 3

What is the solution for (dy)/(dx)=x+6y,y(0)=2 ?
The solution for (dy)/(dx)=x+6y,y(0)=2 is y=-(6x+1)/(36)+73/36 e^{6x}