Verify that the indicated function is a solution of the given differential equation. assume an appropriate interval i of definition of each solution. x dy/dx - 3xy = 1; y = e^3x integral^x _1 e^-3t/t dt 2x dy/dx - y = 2x cos x; y = squareroot x integral^x_4 cos t/squareroot t dt x^2 dy/dx + xy = 10 sin x; y = 5/x + 10/x integral^x_1 sin t/t dy/dx + 2xy = 1; y = e^-x^2 + e^-x^2 integral^x_0 e^t^2 dt