consider the first order differential equationn dy$/$dx$=3[$cosh$($x$)-$sinh$($x$)]-2,$ with initial condition y$(0)=-1$ a$)$ solve the equation analytically. b$)$ use the taylor series method to solve the equation, given the step size h$=0\mathrm{.}10000.$ limit your results to five steps. with five significant figure c$)$ use the simple euler method to solve the equation given the step size $0\mathrm{.}10000$ d$)$ use the modified euler method to solve the equation given the step h$0\mathrm{.}10000$