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Popular >

y^'=5y-3

Solution

y^{^{'}} = 5 y - 3

Solution

y = \frac{e ^{5 t + c_{1}}}{5} + \frac{3}{5}

Solution steps

y^{'} (t) = 5 y - 3

Solve separable ODE:

y = \frac{e ^{5 t + c_{1}}}{5} + \frac{3}{5}

y = \frac{e ^{5 t + c_{1}}}{5} + \frac{3}{5}

Popular Examples

(dy)/(dx)=(y+1)/(x+1)

\frac{d y}{d x} = \frac{y + 1}{x + 1}

(dx)/(dt)=80-x/(100),x=4000,t=0

\frac{d x}{d t} = 80 - \frac{x}{100}, x = 4000, t = 0

(dy)/(dx)=x(y-2)

\frac{d y}{d x} = x (y - 2)

(t^2-6t+5)(dy)/(dt)=y

(t^{2} - 6 t + 5) \frac{d y}{d t} = y

(dy)/(dt)=(3t^2+4t+2)/(2(y-1))

\frac{d y}{d t} = \frac{3 t ^{2} + 4 t + 2}{2 ( y - 1 )}

Frequently Asked Questions (FAQ)

What is the solution for y^'=5y-3 ?
The solution for y^'=5y-3 is y=(e^{5t+c_{1}})/5+3/5