Answer to Question #213350 in Differential Equations for Root

Question

Use reduction of order, to find a second solution 𝑦2(t) of the given differential equation, while 𝑦1(t) is its first solution 𝑡𝑦 ′′ − 𝑦 ′ + 4𝑦𝑡3 = 0 , 𝑡 > 0 , 𝑦1 (𝑡) = 𝑆𝑖𝑛(𝑡 2 ) . Is these solutions 𝑦1(𝑡) and 𝑦2(𝑡) are independent?