en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'=2x-3y

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

integral of 2(tan^2(x)+tan^4(x))

\int 2 (tan^{2} (x) + tan^{4} (x)) d x

integral of xarccot(x)

\int x arccot (x) d x

f^{''}(x)=x^{-3/2},f^'(4)=7,f(0)=0

f^{^{''}} (x) = x^{- \frac{3}{2}}, f^{^{'}} (4) = 7, f (0) = 0

derivative of 2/((x-1^3))

\frac{d}{d x} (\frac{2}{( x - 1 ) ^{3}})

inverse oflaplace (2*(s-1)*e^{-2s})/(s^2-2s+2)inverse laplace

\frac{2 \cdot ( s - 1 ) \cdot e ^{- 2 s}}{s ^{2} - 2 s + 2}

Frequently Asked Questions (FAQ)

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