Solve the following equation using Green’s functions. Set up the integral for the particular solution and...

Solve the following equation using Green’s functions. Set up the integral for the particular solution and evaluate

y''+9y=x+sinx y(0)=1,y'(0)=2

Expert Solution

Colby Messinger answered 1 year ago

Solve each system. Express the solution set using vectors. Identify a particular solution and the solution...

Solve each system. Express the solution set using vectors. Identify a particular solution and the solution set of the homogeneous system. (a) 3x + 6y = 18 x + 2y = 6 (b) x + y = 1 x − y = −1 (c) x1 + x3= 4 x1 − x2 + 2x3 = 5 4x1 − x2 + 5x3 = 17 (d) 2a + b − c = 2 2a + c = 3 a − b = 0...

Set up an integral for the following scenarios: Set up the integral in simplified form, do...

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5. Solve the following differential equation using the given initial conditions (Use convolution and set up the...

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Question 4: Homogeneous Second Order Differential equation Solve the following equation for the particular solution. i....

Question 4: Homogeneous Second Order Differential equation Solve the following equation for the particular solution. i. 2?′′ + 5?′ + 3? = 0; ?(0)=3, ?′(0)=−4 ii. 4 (?2?/??2) + 8 (??/??) + 3y = 0 ?(0)=1, ?′(0)=2 iii. ?′′ + 6?′ + 13? = 0; ?(0)=2, ?′(0)=1

Find a particular solution to the following differential equation using the method of variation of parameters....

Find a particular solution to the following differential equation using the method of variation of parameters. x2y′′ − 11xy′ + 20y = x2 ln x

1. Set-up the appropriate differential equation(s) and solve to derive the general equation of motion for...

1. Set-up the appropriate differential equation(s) and solve to derive the general equation of motion for a human sized “dummy” moving vertically (up/down) under the following assumptions: (a)The initial elevation is h0 ft. (b)The initial velocity is V0 ft./sec. (c)All motion vertical (ignore any sideways motion). (d)The force due to wind is proportional to velocity and in the opposite direction of velocity. (e)The “terminal velocity” is 120mph (e.g. lim t→∞ (V)= 120 mph). (f)Force = Mass * Acceleration. (g)Acceleration due to...

Set up the augmented matrix that describes the situation, and solve for the desired solution. A...

Set up the augmented matrix that describes the situation, and solve for the desired solution. A bag of mixed nuts contains cashews, pistachios, and almonds. Originally there were 850 nuts in the bag. 30% of the almonds, 20% of the cashews, and 10% of the pistachios were eaten, and now there are 715 nuts left in the bag. Originally, there were 50 more cashews than almonds. Figure out how many of each type of nut was in the bag, to...

Set up the appropriate form of the particular solution to each of the differential equations below,...

Set up the appropriate form of the particular solution to each of the differential equations below, but do NOT determine the values of the coefficients. (a) y′′ +10y′ +25y=2e^(5t) +te^(−5t) b) y′′ +9y=5t^2 +4cos(3t)+6e^(3t)

How to solve using functions in TI84: In order to set rates, an insurance company is...

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Using Green’s theorem, compute the line integral of the vector field below, along the curve x^2...

Using Green’s theorem, compute the line integral of the vector field below, along the curve x^2 - 2x + y^2 = 0 , with the counterclockwise orientation. Don’t compute the FINAL TRIG integral. F(x,y) = < (-y^3 / 3) - cos(x^7) , cos(y^9 + y^5) + (x^3 / 3) > .

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