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Popular >

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

Solution

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

Solution

y = \frac{2 x - 1}{4} + \frac{c _{1}}{e ^{2 x}}

Solution steps

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

Solve linear ODE:

y = \frac{2 x - 1}{4} + \frac{c _{1}}{e ^{2 x}}

y = \frac{2 x - 1}{4} + \frac{c _{1}}{e ^{2 x}}

Popular Examples

integral of 1/(sqrt(144-x^2))

\int \frac{1}{144 - x ^{2}} d x

integral of arccot(8y)

\int arccot (8 y) d y

integral of sqrt((1-x)/(1+x))

\int \frac{1 - x}{1 + x} d x

integral of sqrt(58)

\int 58

integral from 1 to 5 of sqrt(1+(3)^2)

\int_{1}^{5} 1 + (3)^{2} d x

Frequently Asked Questions (FAQ)

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