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Popular >

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}}

Popular Examples

e^{2 y} y^{^{'}} = 3

slope ofintercept (90,1),(980,60)slope intercept

(90, 1), (980, 60)

sum from n=0 to infinity of (x/4)^n

n = 0 \sum \infty (\frac{x}{4})^{n}

derivative of cos(x-1/6 cos(3x))

\frac{d}{d x} (cos (x) - \frac{1}{6} cos (3 x))

integral from 1 to 2 of (5x)/(x^2+1)

\int_{1}^{2} \frac{5 x}{x ^{2} + 1} d x

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)}