(a) (b) Consider the differential equation d2y ++y=1; y(0) = y'(0) = 0 dt dt (i)...

 

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(a) (b) Consider the differential equation d2y ++y=1; y(0) = y'(0) = 0 dt² dt (i) (ii) Use RK4 method to solve the IVP with h=0.2 and 0 ≤ t ≤ 0.2 Approximate y(0.2) and z(0,2) [13 marks] Apply Picards method up to the third iteration to find the approximate solution to the D. E [7 marks] dy = x + y²; y(0) = 0 (a) (b) Consider the differential equation d2y ++y=1; y(0) = y'(0) = 0 dt² dt (i) (ii) Use RK4 method to solve the IVP with h=0.2 and 0 ≤ t ≤ 0.2 Approximate y(0.2) and z(0,2) [13 marks] Apply Picards method up to the third iteration to find the approximate solution to the D. E [7 marks] dy = x + y²; y(0) = 0

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RK4 Method for the differential equation D2ydt2 dydt y 1 y0 y0 0 With step size h 02 we can ... View the full answer