Find the function y : y(:1:) (for a: > 0) which satisfies the separable differential equation dy _ 10+ 12:1: E 33:92 $>0 with the initial condition y(1) = 4. y: a. .- ... |.|.... 11.. Let y(t) represent your bank account balance, in dollars, after 1' years. Suppose you start with $50000 in the account. Each year the account earns 3% interest, and you deposit $9000 into the account. This can be modeled with the differential equation: d T: = 0.033; + 9000 d 9(0) : 50000 Solve this differential equation for y(t) ya) =l Textbook L71" ((2 Videos Ln' [+] d Solve the separable differential equation dy : 6y, .1: and find the particular solution satisfying the initial condition \"9(0) 2 3. ye) = l l