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Popular >

x(dy)/(dx)+y=4x+1

Solution

x \frac{d y}{d x} + y = 4 x + 1

Solution

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

Solution steps

x \frac{d y}{d x} + y = 4 x + 1

Solve linear ODE:

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

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

Popular Examples

tangent of f(x)= 3/x ,\at x=3 tangent of

f (x) = \frac{3}{x}, at x = 3

derivative of (3x-3/(2sqrt(x)))

\frac{d}{d x} (\frac{3 x - 3}{2 x})

(dy)/(dx)= 3/(1+x)

\frac{d y}{d x} = \frac{3}{1 + x}

f (x) = 3 cos (2 x)

(\partial)/(\partial x)(sin(x)-cos(y))

\frac{\partial}{\partial x} (sin (x) - cos (y))

Frequently Asked Questions (FAQ)

What is the solution for x(dy)/(dx)+y=4x+1 ?
The solution for x(dy)/(dx)+y=4x+1 is y=2x+1+(c_{1})/x