2. Consider the equation t2a" + 2t.a' – 6x = t2. (1) Show that r1(t) = t² and r2(t) = t-3 are independent (a) solutions to the homogeneous equation t2a" + 2tx' – 6x 0. That is, show each is a solution and show the Wronskian is non-zero. (b) forget to make the coefficient on the a" term one before jumping in. Solve (1) using variation of parameters. Hint: Don't

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.