Please reconfirm and underline your answers.
1. Determine whether the equation is linear or not (Yes/ No)
(1.1.1) (1 − 𝑥)𝑦 ′′′ − 4𝑥𝑦 ′ + 5𝑦 = 𝑐𝑜𝑠𝑥
𝑑3 𝑦
𝑑𝑦 4
(1.1.2) 𝑥 𝑑𝑥 3 − (𝑑𝑥 ) + 𝑦 = 0
(1.1.3) 𝑡 5 𝑦 (4) − 𝑡 3 𝑦 + 6𝑦 = 0
(1.1.17) (𝑦 − 𝑥)𝑦 ′ = 𝑦 − 𝑥 + 8
(1.1.18) 𝑦 ′ = 25 + 𝑦 2
2.
Solve the ODE F:
2𝑥 2 𝑦 ′ + 2𝑥𝑦 + 1 = 𝑥 2 𝑦 2
3.
Find implicit solution for ODE F
𝑑𝑦 𝑦 − 𝑥
=
𝑑𝑥 𝑦 + 𝑥
4.
Solve the ODE F:
2𝑥 2 𝑦 ′ + 6𝑥𝑦 − 𝑥 3 𝑦 + 1 = 0
5.
Find the implicit solution for (Zill’s 2.2.9)
6.
(Zill’s 2.2.49)
7.
(Zill’s 2.2.50)