Solve the initial value problem:
r'(t)=2i+5eᵗ'j+(2eᵗ+2teᵗ)k
and
r(0)=4i+5j-2k
r(t) = _____
r'(t)=2i+5eᵗ'j+(2eᵗ+2teᵗ)k
and
r(0)=4i+5j-2k
r(t) = _____