1. Consider the following differential equation z²+z'+p(t)z + q(t) = 0. y' (a) Show that by substituting z = the above d

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1 Consider The Following Differential Equation Z Z P T Z Q T 0 Y A Show That By Substituting Z The Above D 1 (82.89 KiB) Viewed 46 times

1. Consider the following differential equation z²+z'+p(t)z + q(t) = 0. y' (a) Show that by substituting z = the above differential equation can be transformed 2 Y into the differential equation y" +p(t)y' + q(t)y = 0. [3 marks] (b) Determine the general solution of the differential equation z² + z' 3z 3 + t t² 0 given that t 0. [3 marks] - -