Answer Happy

Show directly that the given functions are linearly dependent on the real time. That is find a nontrivial linear combination of the following functions that vanishes intcaly MO) = 13, g(x)=2sin, h(x)=3cos? GER Enter the non-trivial linear combination (6)(13)+(2 sin?»). (3 cos x) = 0
Use the Wronskian to determine if the given functions are linearly independent on the indicated interval f(x) = 23, g(x) = 2x, h(x) = 3x?, the real line OA. The Wronskian Wif, g, h) - As W is identically 0 on the real line f(x) g(x) and (x) are linearly independent OB. The Wronskian Wif, g, h) = As Wis identically on the real line flx) glx) and h(x) are linearly dependent OC. The Wronskian Wif, g, h) = As W is never on the real line f(x) g(x) and h(x) are linearly independent OD. The Wronskian Wif, g, h) = As W is never on the real line f(x), g(x) and h(x) aro linearly dependent
A third-order homogeneous linear equation and three linearly independent solutions are given below. Find a particular solution satisfying the given initial conditions y2y" -y-2y = 0:y(0) = 1, y'(0) = 6. y''() = 0; 91 - * Y2 3) Y3 The particular solution is y(x)=
A third-order homogeneous linear equation and three linearly independent solutions are given below Find a particular rolution satisfying the given initial conditions **) - 3x?y" + 6xy' - 5y = 0:y(t)2.y'(1) - 15 y" (1) = 22. *1 = x, y2 = xyz x GE The particular solution is y(x) = 0