answer two question will like also underline answers and explain step by step for both problems

Solve the initial value problem for r as a vector function of t. Differential Equation: dtdr=3(t+1)1/2i+2e1j+t+11k Initial condition: r(0)=k i+(e2x)j+k Solve the following initial value problem for r as a function of t. Differential equation: dtdr=(2tant)i+(cos(51t))j(sec2t)k Initial condition: r(0)=2i5j+5k