Solve the following differential equation:

2.5y^' + 5y = 7.5

USING:

• An analytical method
• A numerical method (runge kutta method)

AND compare the results obtained from the two methods with the following result obtained from solving the same differential equation using an analog computer:

0.47 3.0 Analog ir V Volta 0.63 3.0 V 0.75 3.0 Volta 0.86 3.0 O Powe 0.93 3.0 Analog o 1.00 3.0 Volte O Volta 1.08 3.0 1.14 3.0 Phas 1.19 3.0 Digital in 121 3.0 Digital in 1.26 3.0 Digital ou 1.30 3.0 1.31 3.0 Voltage Ux 1.34 3.0 Range -10 V. 1 1.37 3.0 1.39 3.0 O Nur wahrend eine 1.39 3.0 140 3.0 Signafom: 1.42 3.0 Parameter 1.42 3.0 .1 1.44 3.0 50 146 3.0 1.47 3.0 Record Measured Instantaneous 1.47 3.0 1.47 3.0 147 3.0 Averaged value 1.49 3.0 RMS values 1.48 3.0 RMS valuee (AC -5 1.50 3.0 Origin 1.50 1.50 3.0 10 20 O Left t/s 333 333 333 3mm 33m 333 3am 33e 33 33