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Differential Equations · Question 35 of 67

Question 35

EasyOriginal question

What is the order of the differential equation of the family y=Aex+Be2x+Ce3xy = Ae^{x} + Be^{2x} + Ce^{3x}, with A,B,CA, B, C arbitrary?

Options for question 35

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Each arbitrary constant takes one differentiation to remove.

  2. Three constants, so the order is 3.

Worth noting

6 adds the powers 1+2+31 + 2 + 3; only the number of constants counts.

Concept
Order from the number of constants
Typical time
60 s
Your time
—
The rule this testsForming a differential equation
Practise this chapter →

Ten questions from Differential Equations, at your own pace.

Practise this chapter →

Ten questions from Differential Equations, at your own pace.