My first Magazine MATH 450 Technology levels--snaptutorial.com | Page 4

4.(TCO 2) Find current ‘I’ as a function of time t for the RLC
circuit given below, if and . Hint: The standard form of ODE for the
circuit is .
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MATH 450 Week 4 Homework
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1)Find an ODE for which the given functions e-2x, xe-2x, and x2e-
2x form a basis of solutions.
2)Find an ODE for which the given functions cos(x), sin(x),
xcos(x), and xsin(x) form a basis of solutions.
3)Obtain the general solution of the ODE yiv–29y”+100y=0.
4)Obtain a general solution of the ODE 4y”’+8y”+41y’+37y=0.
Also solve the initial value problem given y(0)=9, y’(0)=-6.5, and
y’’(0)=-39.75
5)Obtain the general solution of a non-homogeneous ODE [img
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6)Solve the initial value problem given the ODE yiv – 16y =
128cosh(2x) with initial conditions y(0)=1, y’(0)=24, y’’(0)=20, and
y’’’(0)=-160