What is the solution for 7y^{''''}-338y^{''}+225y=0 ?

The solution for 7y^{''''}-338y^{''}+225y=0 is

Popular >

7y^{''''}-338y^{''}+225y=0

7 y^{^{''''}} - 338 y^{^{''}} + 225 y = 0

y = c_{1} e^{\frac{169 + 26986}{7} t} + c_{2} e^{- \frac{169 + 26986}{7} t} + c_{3} e^{\frac{169 - 26986}{7} t} + c_{4} e^{- \frac{169 - 26986}{7} t}

Solution steps

7 y^{(4)} (t) - 338 y^{''} (t) + 225 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{169 + 26986}{7} t} + c_{2} e^{- \frac{169 + 26986}{7} t} + c_{3} e^{\frac{169 - 26986}{7} t} + c_{4} e^{- \frac{169 - 26986}{7} t}

y = c_{1} e^{\frac{169 + 26986}{7} t} + c_{2} e^{- \frac{169 + 26986}{7} t} + c_{3} e^{\frac{169 - 26986}{7} t} + c_{4} e^{- \frac{169 - 26986}{7} t}

\frac{d ^{2} y}{d x ^{2}} - 16 y = 0

y^{^{''}} + 2 y^{^{'}} + 10 y = 0, y (0) = 1, y^{^{'}} (0) = 1

2 x^{^{''}} + 3 x^{^{'}} + 7 x = 0

y^{^{''}} = 3 y^{^{'}} + 5 y

3 y^{^{''}} + 38 y^{^{'}} + 80 y = 0, y (0) = 3, y^{^{'}} (0) = 7

What is the solution for 7y^{''''}-338y^{''}+225y=0 ?
The solution for 7y^{''''}-338y^{''}+225y=0 is