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Popular >

y^{''}-4y^'=-4y

Solution

y^{^{''}} - 4 y^{^{'}} = - 4 y

Solution

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

Solution steps

y^{''} (t) - 4 y^{'} (t) = - 4 y

Solve linear ODE:

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

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

Popular Examples

normal of 5x^2+9y^2=36,(6,4)normal of

5 x^{2} + 9 y^{2} = 36, (6, 4)

derivative of (2x/(ln(x)))

\frac{d}{d x} (\frac{2 x}{ln ( x )})

limit as x approaches 0 of sqrt(x)-5

x \to 0 lim (x - 5)

derivative of sin(3(2x))

\frac{d}{d x} (sin (3) (2 x))

slope of 16\sqrt[4]{4x^4+4}slope

Frequently Asked Questions (FAQ)

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