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Differential Equations · Question 60 of 67

Question 60

MediumOriginal question

What is the general solution of dydx=ytan⁡x\frac{dy}{dx} = y\tan x?

Options for question 60

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Separate the variables, with every yy on the side of dydy and every xx on the side of dxdx.

  2. Integrating both sides and collecting the constants gives y=Csec⁡xy = C\sec x.

Worth noting

Check an answer by differentiating it: it must give back the equation.

Concept
A solution with a trigonometric function
Typical time
90 s
Your time
—
The rule this testsVariables separable
Practise this chapter →

Ten questions from Differential Equations, at your own pace.

Practise this chapter →

Ten questions from Differential Equations, at your own pace.