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What is the order of the differential eq...

What is the order of the differential equation whose general solution is `y=c_(1)cos2x+c_(2)sin^(2)x+c_(3)cos^(2)x+c_(4)e^(2x)+c_(5)e^(2x+c_(6))`

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To determine the order of the differential equation whose general solution is given by: \[ y = c_1 \cos(2x) + c_2 \sin^2(x) + c_3 \cos^2(x) + c_4 e^{2x} + c_5 e^{2x} + c_6 \] we will follow these steps: ### Step 1: Identify the terms in the solution The solution consists of different terms involving trigonometric functions and exponential functions, along with constants \(c_1, c_2, c_3, c_4, c_5, c_6\). ...
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