Please need an answer asap

It can be shown that y1 = e" and y2 - e 'are solutions to the differential equation d'y dy dar2 dx +5- - 14y = 0 on (-0o, 0o). (a) What does the Wronskian of y1 , 32 equal on (-0o, co)? W ( 31 , y2 ) = Jon ( - 00 , 00 ) . (b) Is { y1, 2} a fundamental set for the given differential equation? Choose v (1 point) dy - 0 on (0, 5). It can be shown that y1 = 3 and y2 - cos?(8x) + sin?(8x) are solutions to the differential equation 8x sin(3:)2 d'y _ 312 cos(8x) dx (a) What does the Wronskian of 31 , 32 equal on (0, - )? W (y1, 32) = on (0, ). (b) Is {y1, y2} a fundamental set for the given differential equation? Choose Note: In order to get credit for this problem all answers must be correct. Determine the largest interval in which the given initial value problem is certain to have a unique twice-differentiable solution. Do not attempt to find the solution. sin(t) at2 + cos(t)dt d.3 + sin(t)r - tan(t), z(0.5) - 6, x'(0.5) = 1 Interval