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Section 7.8

# Section 7.8 - Section 7.8(Homework 1[SCalcCC2 7.8.02...

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Section 7.8 (Homework) 1. [SCalcCC2 7.8.02.] 3.5/3.5 points Last Response | Show Details All Responses Notes Solve the differential equation using the method of undetermined coefficients. y '' + 9 y = e 3 x (a) Find the auxiliary equation using the variable r . r^2+9 r^2+9 = 0 (b) Determine the complementary solution. (o) (o) (_) (_) (_) (_) none of these (_) (_) (_) (_) (c) Find the general solution. y ( x ) = y c ( x ) + (1/18)exp(3x) (1/18)*exp(3x) 2. [SCalcCC2 7.8.06.] 3.5/3.5 points Last Response | Show Details All Responses Notes

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Solve the differential equation using the method of undetermined coefficients. y '' + 2 y ' + y = xe - x (a) Find the auxiliary equation using the variable r . r^2+2r+1 r^2 + 2r + 1 = 0 (b) Determine the complementary solution. (o) (o) (_) (_) (_) (_) (_) (_) (_) (_) none of these (c) Find the general solution. y ( x ) = y c ( x ) + (1/6)x^3exp(-x) (1/6)*x^3*exp(-x) 3. [SCalcCC2 7.8.08.] 3/3 points Last Response | Show Details All Responses Notes Solve the initial-value problem using the method of undetermined coefficients. y '' - 4 y = e x cos( x ) , y (0) = 1 , y '(0) = 2 y ( x ) = (9/8)exp(2x)+(3/40)exp(-2x)+exp(x)((-1/5)cos(x)+(1/10)sin(x))
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Section 7.8 - Section 7.8(Homework 1[SCalcCC2 7.8.02...

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