Question
Question: The differential equation of the family of curves represented by y = a + bx + ce<sup>–x</sup> (where...
The differential equation of the family of curves represented by y = a + bx + ce–x (where a, b, c are abritrary constants) is –
A
y''' = y'
B
y''' + y'' = 0
C
y''' – y" + y' = 0
D
y''' + y'' – y' = 0
Answer
y''' + y'' = 0
Explanation
Solution
y´ = b – ce–x
y´´ = ce–x Ž y´´´ = – ce–x Ž y´´´ = – y