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Differential Equations — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDifferential Equations1 Mark
MCQ
The order of the differential equation whose general solution is given by
$
y=\left(C_1+C_2\right) \cos \left(x+C_3\right)-C_4 e^{x+C_5}
$
where $C_1, C_2, C_3, C_4, C_5$ are arbitrary constants, is
  • A
    5
  • B
    4
  • ✓
    3
  • D
    2
✓

Answer

Correct option: C.
3
(c) : The given equation can be rewritten as
$
y=A \cos \left(x+C_3\right)-B e^x
$
where, $A=C_1+C_2$ and $B=C_4 e^{C_5}$
So, there are three independent variables, $\left(A, B, C_3\right)$.
Hence, the differential equation is of order 3 .

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