1. Tardigrade
  2. Question
  3. Mathematics
  4. The order of the differential equation whose general solution is given by y=(C1+C2)cos(x+C3)-C4ex+C5 where C1, C2, C3, C4, C5 are arbitrary constant, is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. 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 constant, is

Differential Equations

Solution:

The given equation can be written as
$y = Acos(x + C_3) - Be^x$
where $A = C_1 + C_2$ and $B = C_4e^{C_5}$
Here, there are three independent variables,
$(A, B, C_3)$.
Hence, the differential equation will be of order $3$.