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Solution of the nonhomogeneous differential equation

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Reference no: EM13493237

In exercises 1-6, evaluate the integral.

1846_Evaluate the integral.png

7. Determine whether the improper integral is convergent or divergent. If it converges, find it value.

1055_Evaluate the integral1.png

8. Find the length of the curve, y = 2x3/2, from x = 0 to x = 1

In exercises 9 and 10, determine whether the sequence converges or diverges. If it converges, find the limit.

1557_Evaluate the integral2.png

In exercises 11-14, determine whether the series converges or diverges. Indicate the test(s) that you use to support your conclusion.

705_Evaluate the integral3.png

15. Find the values of x for which the series converges. Check endpoints.

173_Evaluate the integral4.png

16. Find the first four terms of the Taylor series of f(x) = ex at a = 1.

17. solve the differential equation.

1780_Evaluate the integral5.png

19. Solve the initial-value problem.

y'' + 6y' + 9y = 0 , y(0) = 2 , y'(0) = 1

20. Find the general solution of the nonhomogeneous differential equation, y'' + 3y' - 10y = e4x

Suggestion: use the method of undetermined coefficients.

Reference no: EM13493237

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