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Popular >

y^'=6y-5

Solution

y^{^{'}} = 6 y - 5

Solution

y = \frac{e ^{6 t + c_{1}}}{6} + \frac{5}{6}

Solution steps

y^{'} (t) = 6 y - 5

Solve separable ODE:

y = \frac{e ^{6 t + c_{1}}}{6} + \frac{5}{6}

y = \frac{e ^{6 t + c_{1}}}{6} + \frac{5}{6}

Popular Examples

3(dx)/(dt)=(3x)/(sqrt(t))

3 \frac{d x}{d t} = \frac{3 x}{t}

y^'=(y-1)^2-0.01

y^{^{'}} = (y - 1)^{2} - 0.01

y^{^{'}} - 3 y = 12

(dy)/(dx)=xy+5x+3y+15

\frac{d y}{d x} = x y + 5 x + 3 y + 15

y^'+1/(sqrt(1-x^2))y= 3/(sqrt(1-x^2))

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

Frequently Asked Questions (FAQ)

What is the solution for y^'=6y-5 ?
The solution for y^'=6y-5 is y=(e^{6t+c_{1}})/6+5/6