MHT CET · Maths · Differential Equations
The order of the differential equation whose general solution is given by \(\mathrm{y}=\left(\mathrm{C}_1+\mathrm{C}_2\right) \sin \left(\mathrm{x}+\mathrm{C}_3\right)-\mathrm{C}_4 \mathrm{e}^{x+\mathrm{C}_5}\) is (where \(\mathrm{C}_1, \mathrm{C}_2, \mathrm{C}_3, \mathrm{C}_4, \mathrm{C}_5\) are arbitrary constants)
- A 5
- B 4
- C 2
- D 3
Answer & Solution
Correct Answer
(D) 3
Step-by-step Solution
Detailed explanation
\(\mathrm{y}=\mathrm{A} \sin (\mathrm{x}+\mathrm{C}_3) - \mathrm{B} \mathrm{e}^{x}\), where \(\mathrm{A}=\mathrm{C}_1+\mathrm{C}_2\), \(\mathrm{B}=\mathrm{C}_4 \mathrm{e}^{\mathrm{C}_5}\) Number of independent arbitrary constants = 3
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