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Popular >

y^{''}-6y^'+5=0

Solution

y^{^{''}} - 6 y^{^{'}} + 5 = 0

Solution

y = c_{1} e^{6 t} + c_{2} + \frac{5 t}{6}

Solution steps

y^{''} (t) - 6 y^{'} (t) + 5 = 0

Solve linear ODE:

y = c_{1} e^{6 t} + c_{2} + \frac{5 t}{6}

y = c_{1} e^{6 t} + c_{2} + \frac{5 t}{6}

Graph

Popular Examples

y^{''}+5y=5sin(t),y(0)=1,y^'(0)=2

y^{^{''}} + 5 y = 5 sin (t), y (0) = 1, y^{^{'}} (0) = 2

y^{''}-4y=arccos(2x)

y^{^{''}} - 4 y = arccos (2 x)

y^{''}+y^'=3t^2,y(0)=0,y^'(0)=1

y^{^{''}} + y^{^{'}} = 3 t^{2}, y (0) = 0, y^{^{'}} (0) = 1

linear y^{''}+4y^'+4y=t-2e-2t linear

y^{^{''}} + 4 y^{^{'}} + 4 y = t - 2 e - 2 t

y^{''}+y^'=2sin(x)

y^{^{''}} + y^{^{'}} = 2 sin (x)

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-6y^'+5=0 ?
The solution for y^{''}-6y^'+5=0 is y=c_{1}e^{6t}+c_{2}+(5t)/6