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Popular >

(dy)/(dx)=x+4y-2

Solution

\frac{d y}{d x} = x + 4 y - 2

Solution

y = - \frac{x}{4} + \frac{7}{16} + c_{1} e^{4 x}

Solution steps

\frac{d y}{d x} = x + 4 y - 2

Solve linear ODE:

y = - \frac{x}{4} + \frac{7}{16} + c_{1} e^{4 x}

y = - \frac{x}{4} + \frac{7}{16} + c_{1} e^{4 x}

Popular Examples

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

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

(\partial)/(\partial x)(x^3-xsin(y))

\frac{\partial}{\partial x} (x^{3} - x sin (y))

integral from-1 to 0 of x^3-x

\int_{- 1}^{0} x^{3} - x d x

integral of x(sqrt(16-x^2))

\int x (16 - x^{2}) d x

limit as x approaches 2 of (5x)/(x-2)

x \to 2 lim (\frac{5 x}{x - 2})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=x+4y-2 ?
The solution for (dy)/(dx)=x+4y-2 is y=-x/4+7/16+c_{1}e^{4x}