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Popular >

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

Solution

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

Solution

y = - 4 (x + 1) + c_{1} e^{x}

Solution steps

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

Solve linear ODE:

y = - 4 (x + 1) + c_{1} e^{x}

y = - 4 (x + 1) + c_{1} e^{x}

Popular Examples

y^'=y(7-y)-49/4

y^{^{'}} = y (7 - y) - \frac{49}{4}

derivative of 3x^3-5x

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

derivative of 2/(x^2)+3/(x^3)derivative of

\frac{2}{x ^{2}} + \frac{3}{x ^{3}}

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

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

integral of (sqrt(8x-2x))

\int (8 x - 2 x) d x

Frequently Asked Questions (FAQ)

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