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Differential Equations · Question 43 of 67

Question 43

MediumOriginal question

What is the order of the differential equation of all parabolas y2=4a(x−h)y^2 = 4a(x - h), whose axis is the xx-axis, aa and hh arbitrary?

Options for question 43

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. The family has two arbitrary constants, aa and hh.

  2. Removing both takes two differentiations: the order is 2.

Worth noting

1 counts only aa; the vertex (h,0)(h, 0) moves too, so hh is a second constant.

Concept
Order from the number of constants
Typical time
90 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.