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Popular >

y^'=3y-2

Solution

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

Solution

y = \frac{e ^{3 t + c_{1}}}{3} + \frac{2}{3}

Solution steps

y^{'} (t) = 3 y - 2

Solve separable ODE:

y = \frac{e ^{3 t + c_{1}}}{3} + \frac{2}{3}

y = \frac{e ^{3 t + c_{1}}}{3} + \frac{2}{3}

Popular Examples

3e^{4x}(dy)/(dx)=-16 x/(y^2),y(0)=1

3 e^{4 x} \frac{d y}{d x} = - 16 \frac{x}{y ^{2}}, y (0) = 1

(dx)/(dt)=100-x/(100),x=2000,t=0

\frac{d x}{d t} = 100 - \frac{x}{100}, x = 2000, t = 0

(y/2)y^'=e^{-x},y(0)=4

(\frac{y}{2}) y^{^{'}} = e^{- x}, y (0) = 4

derivative of y^2=4x^2+2x-5

\frac{d}{d x} (y^{2}) = 4 x^{2} + 2 x - 5

y^2sec(6x)(dy)/(dx)=1,y(0)=0

y^{2} sec (6 x) \frac{d y}{d x} = 1, y (0) = 0

Frequently Asked Questions (FAQ)

What is the solution for y^'=3y-2 ?
The solution for y^'=3y-2 is y=(e^{3t+c_{1}})/3+2/3