engineering mathematics

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For a certain electrical circuit the applicable differential equation is: 100dt2d2i+200dtdi+0.005i=0, with initial conditions i(0)=0 and i(0)=1. Determine the unique solution for the current, l in terms of the time, t. [8] Find the general solution of the following differential equation using the method of undetermined coefficients: dx2d2y+3dxdy+2y=4x2 QUESTION 2 Find the general solutions of the following differential equations using D-operator methods: (D2+6D+9)y=e3xcosh3x