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Popular Calculus >

y^'=x-2y

Solution

y^{^{'}} = x - 2 y

Solution

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

Solution steps

y^{'} (x) = x - 2 y

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}}

Graph

Popular Examples

slope of (1,4),(-5,2)slope

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integral of 1/(sqrt(12x-9x^2-2))

\int \frac{1}{12 x - 9 x ^{2} - 2} d x

derivative of 3xy derivative of

3 x y

(\partial)/(\partial x)(45ysin(9x))

\frac{\partial}{\partial x} (45 y sin (9 x))

integral from 1 to 3 of (y^4+1/(4y^4))

\int_{1}^{3} (y^{4} + \frac{1}{4 y ^{4}}) d y

Frequently Asked Questions (FAQ)

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