Question: fFor the differential equation y + 4y = 0, a general solution is of the form y = C1 sin 2x + C2 cos 2x,

 \fFor the differential equation y" + 4y = 0, a generalsolution is of the form y = C1 sin 2x + C2cos 2x, where C1 and C2 are arbitrary constants. Applying the initialconditions y(0) = 2 and y'(0) = 10, find the specific solution.y =For the differential equation y\" + 43/ + 133/ = 0,

a general solution is of the form y = e_2$(Cl sin 3m+ 02 cos 32:), Where Cl and 02 are arbitrary constants. Applyingthe initial conditions y(0) = 2 and y'(0) = 1, nd thespecic solution. 3;: f. \fFind a solution to the initial value problem,3343/ + 4:333; = 96$, y(1) = 1 + 96. [Hint Interpret

\fFor the differential equation y" + 4y = 0, a general solution is of the form y = C1 sin 2x + C2 cos 2x, where C1 and C2 are arbitrary constants. Applying the initial conditions y(0) = 2 and y'(0) = 10, find the specific solution. y =For the differential equation y\" + 43/ + 133/ = 0, a general solution is of the form y = e_2$(Cl sin 3m + 02 cos 32:), Where Cl and 02 are arbitrary constants. Applying the initial conditions y(0) = 2 and y'(0) = 1, nd the specic solution. 3;: f. \fFind a solution to the initial value problem, 3343/ + 4:333; = 96$, y(1) = 1 + 96. [Hint Interpret the lefthand side of the equation as the derivative of the product of two functions.] 9 = f

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