Misc 1 - Chapter 9 Class 12 Differential Equations

Transcript

Misc 1 For each of the differential equation given below , indicate its order and degree (i) 2 2 +5 2 6 = log 2 2 +5 2 6 = log y + 5x 2 6 = log Highest order of derivative = 2 Order = 2 Since, power of y is 1 Degree = 1 Misc 1 For each of the differential equation given below , indicate its order and degree (ii) 3 4 2 +7 = sin 3 4 2 +7 = sin y 3 4 2 7 = sin Highest order of derivative = 1 order = 1 Since, power of y is 3, Degree = 3 Misc 1 For each of the differential equation given below , indicate its order and degree (iii) 4 4 3 3 =0 4 4 3 3 =0 y 0 Highest order of derivative = 4 Order = 4 Since is in sin ( ), It is not polynomial equation in derivatives, Thus, degree is not defined.