MATH 450
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MATH 450 Week 1 Homework
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MATH 450 Week 1 Quiz
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MATH 450 Week 2 Homework
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MATH 450 Week 2 Quiz
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1)The equations y1 = x^3 and y2 = x^5 form the basis of the secondorder 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 secondorder ODE xy’’ + y’ = x^2 by reducing to firstorder form
3)Find the genera.....

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.(TCO 2) Obtain the general solution of the secondorder homogeneous ODE . Also obtain the particular solution given initial conditions and .
2.(TCO 2) Find a particular solution of the secondorder nonhomogeneous ODE using the undetermined coefficients method.
3.(TCO 2.....

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1)Find an ODE for which the given functions e2x, xe2x, and x2e2x 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 .....

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MATH 450 Week 4 Quiz
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Homework Problem Work
1. Find a general solution of the given ODE y''+15y'+50y =0 by converting it to a system. Verify the result using the previously known analytical method of solving secondorder ODE.
2. Find a general solution of the given ODE y''+2y'24y = 0 by converting it to.....

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1.(TCO 5) Apply the power series method to obtain the solution of . Compare this with the result obtained using MATLAB dsolve function.
2.(TCO 5) Solve the initial value problem of using power series method given .
3.(TCO 5) Using the Frobenius method, find a basis of solutions of the ODE.....

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1.(TCO 6) Find the Laplace transform of the function . Verify using MATLAB.
2.(TCO 6) Find the Laplace transform of the function . Verify using MATLAB.
3.(TCO 6) Using partial fractions method solve the initial value problem given and . Verify using MATLAB.
4.(TCO 6) Using.....
