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Popular >

y^{''''}+20y^{''}-100y=0

Solution

y^{^{''''}} + 20 y^{^{''}} - 100 y = 0

Solution

y = c_{1} e^{10 2 - 1 t} + c_{2} e^{- 10 2 - 1 t} + c_{3} e^{10 - (1 + 2) t} + c_{4} e^{- 10 - (1 + 2) t}

Solution steps

y^{(4)} (t) + 20 y^{''} (t) - 100 y = 0

Solve linear ODE:

y = c_{1} e^{10 2 - 1 t} + c_{2} e^{- 10 2 - 1 t} + c_{3} e^{10 - (1 + 2) t} + c_{4} e^{- 10 - (1 + 2) t}

y = c_{1} e^{10 2 - 1 t} + c_{2} e^{- 10 2 - 1 t} + c_{3} e^{10 - (1 + 2) t} + c_{4} e^{- 10 - (1 + 2) t}

Popular Examples

y^{''}-3y^'+7y=0

y^{^{''}} - 3 y^{^{'}} + 7 y = 0

y^{'''}-5y^{''}+17y-13y=0

y^{^{'''}} - 5 y^{^{''}} + 17 y - 13 y = 0

(d^2f)/(dx^2)=af(x)

\frac{d ^{2} f}{d x ^{2}} = a f (x)

y^{'''}+36y^'=0,y^{''}(0)=108

y^{^{'''}} + 36 y^{^{'}} = 0, y^{^{''}} (0) = 108

x^{''}+2x=0,x(0)=-1,x^'(0)=-2sqrt(2)

x^{^{''}} + 2 x = 0, x (0) = - 1, x^{^{'}} (0) = - 22

Frequently Asked Questions (FAQ)

What is the solution for y^{''''}+20y^{''}-100y=0 ?
The solution for y^{''''}+20y^{''}-100y=0 is