Consider this differential equation for y : y(a:): dy _ 1+y2 dm 7 1+$2' (*) Find the general solution, and use it to complete parts (a)-(c) below. (a) Find the solution y(a:) for (*) that satisfies the additional requirement y(0) : 0. Determine the largest open interval containing ct : O on which the identity (*) is valid. (Use interval notation to enter your answer; type "inf" to represent 00.) 3:43;): .,fora; I (b) Repeat part (a), but use the modified initial condition 31(0) : *9. 3:43;): .,fora; I (c) Repeat part (a), but use the modified initial condition y(0) : 4. 11(15): .,form I tan(9) + tan() Hint: mum +