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Popular Calculus >

y^'=2x-3y+1

Solution

y^{^{'}} = 2 x - 3 y + 1

Solution

y = \frac{2 x}{3} + \frac{1}{9} + \frac{c _{1}}{e ^{3 x}}

Solution steps

y^{'} (x) = 2 x - 3 y + 1

Solve linear ODE:

y = \frac{2 x}{3} + \frac{1}{9} + \frac{c _{1}}{e ^{3 x}}

y = \frac{2 x}{3} + \frac{1}{9} + \frac{c _{1}}{e ^{3 x}}

Graph

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d er i v a t i v e \frac{1}{60} w h

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Frequently Asked Questions (FAQ)

What is the solution for y^'=2x-3y+1 ?
The solution for y^'=2x-3y+1 is y=(2x)/3+1/9+(c_{1})/(e^{3x)}