Consider the differential equation dy I +3y=x², for >0 dx with initial condition y(1) = 3. (a) Use the fact that the dif

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Consider The Differential Equation Dy I 3y X For 0 Dx With Initial Condition Y 1 3 A Use The Fact That The Dif 1 (19.57 KiB) Viewed 28 times

Consider the differential equation dy I +3y=x², for >0 dx with initial condition y(1) = 3. (a) Use the fact that the differential equation is linear to solve the initial value problem. (b) Verify that your solution is correct by verifying both that the solution solves the differential equation and the initial condition. To verify the initial condition, plug in z = 1 into your answer above; the result should give y = 3 in this case.