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[4] Verify that the Jnction 320:) = ale2x + c; e" is a solution of the linear equation 2 fixJ; + ff: 231 = 0 for any choice of constants cl and (:2. In addition, determine these constants for the initial conditions 32(0) = 1, y'(0) = 2. (Special note: If you have had linear algebra, note that this solution is \"a linear combination of the independent \"vectors\" 8\" and ex.\") [5] Use a computer plotting application (either online or installed on your computer) to sketch the direction (slope) eld for the differential equations (a) y'(x) = sin (1:), (b) y'(x} = sin2 (y), and (c) y'(x) = y 4- sin(x). Be sure to \"zoom ou \" enough to show the ow along the solution curves. Also note any stationary points in the solutions (that is, where the ow remains constant.)