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Popular >

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

Solution

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

Solution

y = c_{1} e^{4 t} + c_{2} + t

Solution steps

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

Solve linear ODE:

y = c_{1} e^{4 t} + c_{2} + t

y = c_{1} e^{4 t} + c_{2} + t

Popular Examples

sum from n=0 to infinity of ((3^n))/(n!)

n = 0 \sum \infty \frac{( 3 ^{n} )}{n !}

(\partial)/(\partial x)(xy^2-e^{xy})

\frac{\partial}{\partial x} (x y^{2} - e^{x y})

y^{''}+20y^'+200y=300,y(0)=0,y^'(0)=0

y^{^{''}} + 20 y^{^{'}} + 200 y = 300, y (0) = 0, y^{^{'}} (0) = 0

tangent of f(x)=9+8x+6xe^x,\at x=0 tangent of

f (x) = 9 + 8 x + 6 x e^{x}, at x = 0

(\partial)/(\partial x)((x^2y)/(x^2+y^2))

\frac{\partial}{\partial x} (\frac{x ^{2} y}{x ^{2} + y ^{2}})

Frequently Asked Questions (FAQ)

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