Solved the 2nd order differential equations in Python programming. dx + 2y + 10x = 2cos(wt), forced, damped harmonic oscillator. with initial conditions. x/0)=1, 0) = 0, = 50 radian/second: a) Solve above ODE from r=0 to r=10 seconds with step size of 0.001 seconds. b) Plot . X c) Plot vs. d) Plot rus , what is the name of this plot? de defix dv/dt = g(x, w 24 Order Differential Equation: The second order ODE with initial conitions can be converted to the mo system of first order ODEs of the types dr = 9(...) *0) = y0 =(20) = 20 For example 91xyo = s12(x)(0) = 1 (0) = 1 Les make a change of variable Letyez, using this in zbore equation, we have Equivalently, the system of first order ODEs with mutial conditions is as follows = = sin(Y) - - with initial values = 1:10-1 Taerefore, solutions for second and higher order ODEs oth initial conditions can be obtained by converting them into the system of first order ODES