Consider the system dyi = Y1 – 2y2 – 2e¬t + 2 dt %3D dy2 = 2y1 – Y2 - 2e-t +1 dt %3D with initial values y1 (0) = 1 and y2(0) = 1 and analytical solution y1 (t) = e-t and y2(t) = 1. Using Euler's...

Consider the system<br>dyi<br>= Y1 – 2y2 – 2e¬t + 2<br>dt<br>%3D<br>dy2<br>= 2y1 – Y2 - 2e-t +1<br>dt<br>%3D<br>with initial values y1 (0) = 1 and y2(0) = 1 and analytical solution y1 (t) = e-t and y2(t) = 1. Using<br>Euler's method solve the above system for 0 <t < 0.1 with stepsizes h = 0.05 and h = 0.025.<br>

Extracted text: Consider the system dyi = Y1 – 2y2 – 2e¬t + 2 dt %3D dy2 = 2y1 – Y2 - 2e-t +1 dt %3D with initial values y1 (0) = 1 and y2(0) = 1 and analytical solution y1 (t) = e-t and y2(t) = 1. Using Euler's method solve the above system for 0 < 0.1="" with="" stepsizes="" h="0.05" and="" h="">

Jun 05, 2022

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Consider the system dyi = Y1 – 2y2 – 2e¬t + 2 dt %3D dy2 = 2y1 – Y2 - 2e-t +1 dt %3D with initial values y1 (0) = 1 and y2(0) = 1 and analytical solution y1 (t) = e-t and y2(t) = 1. Using Euler's...

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