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MATH 450 Week 2 Quiz
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MATH 450 Week 3 Homework
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1)The equations y1 = x^3 and y2 = x^5 form the basis of the
second-order ODE x^2y” – 7xy’ + 15y = 0. Solve the initial value
problem for the ODE given y(1)=0.4 and y’(1)=1
2)Find the general solution of the second-order ODE xy’’ + y’ =
x^2 by reducing to first-order form
3)Find the general solution for the homogeneous linear ODE y” +
2.4y + 4y = 0. Verify your answer by substitution and using MATLAB
4)Solve the initial value problem for the ODE y” – 9y = 0 given
the initial conditions y(0)=-2 and y’(0)=-12
5)Find the location of the maxima and minima of y= e^-2t. Round
your answer to an accuracy of 2 decimal points. Hint: Recall from
calculus that a maxima or minima of a function y occurs where the