Benson Idahosa University

MTH 221

Practice 265+ past questions for MTH 221 at Benson Idahosa University. Organized by topic with explanations. Free preview on Testwiz.

265+ questions19 topics200 LevelTheory questionsTopic summaries

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About MTH 221 at Benson Idahosa University

MTH 221 is a 200 Level course at Benson Idahosa University. Students preparing for MTH 221 exams on Testwiz get 265+ practice questions across 19 topics, including theory questions and topic summaries.

Instead of cramming the night before, students who practice by topic — Order and Degree of Differential Equations, Direct Substitution Integration, Homogeneous Differential Equations, and more — build real familiarity with how Benson Idahosa University tests MTH 221, catch weak spots early with Testwiz's analytics, and walk into the exam with actual reps under their belt.

Topics covered

Order and Degree of Differential EquationsDirect Substitution IntegrationHomogeneous Differential EquationsSubstitution Methods for Homogeneous EquationsSeparable Variable MethodIntegration Techniques for Differential EquationsApplications of Differential EquationsSolution of Differential EquationsIntroduction to Differential EquationsSolution MethodsSecond-Order Linear ODEsLinear Differential Equations+7 more

Sample questions

1. What is the order of the differential equation \(x^2 \frac{dy}{dx} = y \sin x\)?

a.Zero order

b.Third order

c.First order

d.Second order

2. What is the degree of the differential equation \(\left(\frac{d^3y}{dx^3}\right)^5 + 6\left(\frac{d^2y}{dx^2}\right) + x\left(\frac{dy}{dx}\right)^7 = 0\)?

a.3

b.7

c.1

d.5

3. Which method is used to solve a differential equation that can be written in the form \(\frac{dy}{dx} = f(x)\)?

a.Homogeneous equation method

b.Integrating factor method

c.Separable variable method

d.Direct substitution integration

4. Using direct substitution integration, what is the general solution of \(\frac{dy}{dx} = 3x^2 - 6x + 5\)?

a.\(y = 6x - 6 + C\)

b.\(y = x^3 - 3x^2 + 5x + C\)

c.\(y = x^3 - 6x^2 + 5x + C\)

d.\(y = 3x^3 - 6x^2 + 5x + C\)

5. Which of the following is a necessary condition for a first-order differential equation to be classified as homogeneous?

a.The coefficients are constant

b.The equation is linear in \(y\)

c.The equation is separable

d.The equation can be written in the form \(\frac{dy}{dx} = f\left(\frac{y}{x}\right)\)

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Testwiz has 265+ MTH 221 practice questions for Benson Idahosa University, organized across 19 topics, including theory questions. Sign up free to start practicing.

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MTH 221 on Testwiz covers Order and Degree of Differential Equations, Direct Substitution Integration, Homogeneous Differential Equations, and more. Practice on Testwiz to see the full topic breakdown and sample questions.