Solve the Differential Equation $y ^ { tt } - 6 y ^ { t} + 5 y = 20 x \text { by the method of undetermined }$

question 3

Multiple Choice

Solve the differential equation $y ^ { tt } - 6 y ^ { t} + 5 y = 20 x \text { by the method of undetermined }$ coefficients.

• A)\(y = C _ { 1 } e ^ { 9 x } + C _ { 2 } e ^ { 5 x } + 4 x - \frac { 24 } { 5 }\)
• B)\(y = C _ { 1 } e ^ { 9 x } + C _ { 2 } e ^ { 7 x } + 4 x - \frac { 24 } { 5 }\)
• C)\(y = C _ { 1 } e ^ { x } + C _ { 2 } e ^ { 7 x } + 4 x - \frac { 24 } { 5 }\)
• D)\(y = C _ { 1 } e ^ { x } + C _ { 2 } e ^ { 5 x } + 4 x + \frac { 24 } { 5 }\)
• E)\(y = C _ { 1 } e ^ { 9 x } + C _ { 2 } e ^ { 7 x } + 4 x + \frac { 24 } { 5 }\)

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