Question

If ${{c}_{1}},{{c}_{2}},{{c}_{3}},{{c}_{4}},{{c}_{5}}$ and ${{c}_{6}}$ are constants, then the order of the differential equation whose general solution is given by $y={{c}_{1}}cos$ $(x+{{c}_{2}})+{{c}_{3}}\sin (x+{{c}_{4}})+{{c}_{5}}{{e}^{x}}+{{c}_{6}}$

• A. 6
• B. 5
• C. 4
• D. 3

Answer 1

Answer: (D)

3

Answer 2

Given equation is $y={{c}_{1}}\cos (x+{{c}_{2}})+{{c}_{3}}\sin \left( x+{{c}_{4}} \right)+{{c}_{5}}{{e}^{x}}+{{c}_{6}}$
From this equation it is clear that the order of differential equation whose solution in this equation is 3.