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Popular >

y^{''}-4y^'+3y=0

Solution

y^{^{''}} - 4 y^{^{'}} + 3 y = 0

Solution

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

Solution steps

y^{''} (t) - 4 y^{'} (t) + 3 y = 0

Solve linear ODE:

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

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

Popular Examples

derivative of-10sin(2x+10)

\frac{d}{d x} (- 10 sin (2 x + 10))

y^{''}+25y=-20sin(5t)

y^{^{''}} + 25 y = - 20 sin (5 t)

derivative of 3cos(3x+1)

\frac{d}{d x} (3 cos (3 x + 1))

limit as x approaches 81 of ((\sqrt[4]{x}-3))/(x-81)

(\partial)/(\partial u)(b((((Nu))/(V(u)))^{(2/3)}))

\frac{\partial}{\partial u} (b ((\frac{( N u )}{V ( u )})^{(\frac{2}{3})}))

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-4y^'+3y=0 ?
The solution for y^{''}-4y^'+3y=0 is y=c_{1}e^{3t}+c_{2}e^t