EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Homogeneous & Linear Differential Equations · Question 92 of 120

If y = 3 when x = 0, what is C?

Question 92

EasyOriginal question

Consider the linear differential equation dydx+2xy=2x\frac{dy}{dx} + 2xy = 2x.

If y=3y = 3 when x=0x = 0, what is CC?

Options for question 92

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. At x=0x = 0: 3=1+C⋅e03 = 1 + C \cdot e^{0}.

  2. C=2C = 2.

Worth noting

3 takes CC as the starting value of yy, forgetting the 1.

Concept
A particular solution of a homogeneous equation
Typical time
90 s
Your time
—
The rule this testsSolving linear equations
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.