# Question: a by using the substitution udydx transform the following second...

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(a) by using the substitution u=dy/dx transform the following second order ordinary differential equation : 2y''-(y' )^2 +16=0 to a first ordinary differential equation: 2u' -u^2+16=0 Thus find the solution of the above ordinary differential equation and hence solve the original equation.

(b) solve y'''+y''= e^x cos(x)