EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Homogeneous & Linear Differential Equations · Question 66 of 120

Question 66

EasyOriginal question

What is the integrating factor of dxdy+2x=y2\frac{dx}{dy} + 2x = y^{2}?

Options for question 66

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. The equation is linear in xx with P1=2P_{1} = 2, a constant function of yy.

  2. The factor is e∫2 dy=e2ye^{\int 2\,dy} = e^{2y}.

Worth noting

e2xe^{2x} integrates with respect to xx; here the variable of integration is yy.

Concept
The integrating factor for \(\frac{dx}{dy} + Px = Q\)
Typical time
60 s
Your time
—
The rule this testsLinear equations and the integrating factor
Practise this chapter →

Ten questions from Homogeneous & Linear Differential Equations, at your own pace.

Practise this chapter →

Ten questions from Homogeneous & Linear Differential Equations, at your own pace.