Differential Equations
Formation of Differential Equations
IIT-JEE PYQ
Grade 12
Question:
The order of the differential equation whose general solution is $y = c_1 e^x + c_2 e^{2x} + c_3 e^{3x} + c_4$, where $c_1, c_2, c_3, c_4$ are arbitrary constants, equals _____.
Step-by-Step Solution
Key Concept: Recall that the order of the differential equation representing a family of curves equals the number of independent arbitrary constants that must be eliminated.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: 4