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Popular >

y^{''}+3y=4y^'

Solution

y^{^{''}} + 3 y = 4 y^{^{'}}

Solution

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

Solution steps

y^{''} (t) + 3 y = 4 y^{'} (t)

Solve linear ODE:

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

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

Graph

Popular Examples

y^{'''}+5y^{''}-34y^'-80y=0

y^{^{'''}} + 5 y^{^{''}} - 34 y^{^{'}} - 80 y = 0

y^{''}+1y=0,y(pi/2)=3,y^'(pi/2)=-1

y^{^{''}} + 1 y = 0, y (\frac{π}{2}) = 3, y^{^{'}} (\frac{π}{2}) = - 1

-2y^{''}-10y^'+5/2 y=0

- 2 y^{^{''}} - 10 y^{^{'}} + \frac{5}{2} y = 0

y^{''}-y=0,y(0)=-1,y^'(0)=1

y^{^{''}} - y = 0, y (0) = - 1, y^{^{'}} (0) = 1

x^{'''}+x^{''}-6x^'=0

x^{^{'''}} + x^{^{''}} - 6 x^{^{'}} = 0

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+3y=4y^' ?
The solution for y^{''}+3y=4y^' is y=c_{1}e^{3t}+c_{2}e^t