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Question
The order of the differential equation whose general solution is given by y = c1 cos (2x + c2) − (c3 + c4) ax + c5 + c6 sin (x − c7) is
Options
3
4
5
2
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Solution
5
The given equation can be reduced to :
\[y = c_1 \cos(2x + c_2 ) - (c) a^x \times a^{c_5} + c_6 \sin(x - c_7 )\]
\[\text{ where }c = c_3 + c_4\text{ and }a^{c_5}\text{ will be a constant }\]
There are 5 constants \[( c_1 , c_{2,} c, c_6 , c_7 )\]in the given differential equation.
Hence, the order of the differential equation is 5.
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