APMA 2130 UVA 2.1-2.6 2025/2026 Exam Questions and Answers | A+ Score Assured

APMA 2130 UVA 2.1-2.6 2025/2026 Exam
Questions and Answers | A+ Score
Assured



first order linear equation (form) - 🧠 ANSWER ✔✔P(t)y' + Q(t)y = G(t)


Standard form of a first order linear equation - 🧠 ANSWER ✔✔y' + p(t)y =

g(t)


Solving a first order linear equation - 🧠 ANSWER ✔✔Use the integrating

factor.




1. Put the equation in standard form

2. integrating factor = μ = e^∫p(t)dt

3. Multiply both sides of the equation by the integrating factor

4. d/dt(μy) = μg(t)

5. Integrate both sides

6. Solve for y


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, Separable equation (form) - 🧠 ANSWER ✔✔M(y)y'(x) = N(x)


Solving a separable equation - 🧠 ANSWER ✔✔1. Put y' in the form of dy/dx




2. Multiply both sides by dx, so you get dx on one side and dy on the other




3. Move stuff around to get it into the form f(x)dx = g(y)dy




4. Integrate both sides




5. Solve


Homogeneous equation (form) - 🧠 ANSWER ✔✔y' = f(x,y), where f(x,y) can

be written as g(v), where v = y/x


Solving a homogeneous equation - 🧠 ANSWER ✔✔1. Since v = y/x, y = vx




2. Find y' in terms of v and x




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COPYRIGHT@SARAHROSAPERAL 2025/2026. YEAR PUBLISHED 2025. COMPANY REGISTRATION NUMBER: 619652435. TERMS OF USE.
PRIVACY STATEMENT. ALL RIGHTS RESERVED