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1. Compute the Wronskian for the following functions. Then use the Wronskian to determine whether the...
1. Compute the Wronskian of the functions 3e3t and -2e2t and use it to determine whether...
1. Compute the Wronskian of the functions 3e3t and -2e2t and use it to determine whether or not they are linearly independent. Explain how you use the Wronksian to determine this.
TE 12. Determine a form for a particular Solution of the differential equation of the method...
TE 12. Determine a form for a particular Solution of the differential equation of the method of unde termined coefficients Bused. Do not try to find the values of the unknown efficients. Do not try to solve the differential equation. 34 y"-by' +9=563
Use the method of variation of parameters to find a particular solution of the following differential...
Use the method of variation of parameters to find a particular solution of the following differential equation. y" - by' +9y = 2e 3x What is the Wronskian of the independent solutions to the homogeneous equation? W(11.72) = 0 The particular solution is yp(x) =
3 multiple choice questions Two solutions to a second order differential equation are linearly independent if...
3 multiple choice questions
Two solutions to a second order differential equation are linearly independent if (a) their Wronskian determinant is zero. (b) their Wronskian determinant is nonzero. (c) they are not scalar multiples of one another. (d) they each have a corresponding initial condition. (e) Both (b) and (c) are correct. Given the differential equation y"+9y' = e-91, the correct guess for a particular solution would be (a) yp = Ae-94 (b) yp = (Ax + B)e-9r. (c) yp...
Use Variation of Parameters to solve the following differential equations 4) y" + 8y' +16y =...
Use
Variation of Parameters to solve the following differential
equations
4) y" + 8y' +16y = e-45 ln(2)
In each of Problems 1 through 3, use the method of variation of parameters to find...
In each of Problems 1 through 3, use the method of variation of parameters to find a particular solution of the given differential equation. Then check your answer by using the method of undetermined coefficients. 1. y" - 5y + 6y - 2 ANSWER O Y(A) = 2. y - y - 2y - 2e? ANSWER WORKED SOLUTION 2.4" - 4y + y - 16/2
22.1 A,C depending on whether indefinite op de ol functions and an is never zero over...
22.1 A,C
depending on whether indefinite op de ol functions and an is never zero over this interval. Additional Exercises 22.1. Find the general solution to each of the following nonhomogeneous differential equations Use variation of parameters even if another method might seem easier. For your comve- nience, each equation is accompanied by a general solution to the corresponding homoge- neous equation a. ry" - 2xy' + 2y 3x, yn = cix + c2x2 b. y + y = cot(x)...
please do problem No. 3! There are 3 problems in the first part of this homework...
please do problem No. 3!
There are 3 problems in the first part of this homework assignment. Consider the following second order nonhomogeneous linear dif- ferential equations (1) y" + 100y = 36 cos(8x) + 72 sin(8x), (2) y" – 4y' + 3y = (2 – 12x)e" + (60 + 40x)e37, (3) Y" – 2ay' +a²y = 60xeQ2 + 60x’ear, where a + ( is a real nonozero constant. Use the method of unde- termined coefficients to find a particular...
10. In solving by variation of parameters, you must find the Wronskian, W. Find W for...
10. In solving by variation of parameters, you must find the Wronskian, W. Find W for the differential equation y*-y-2y=e' lx You do not have to solve the differential equation. (a) W = 4 (b) w=1621 12 2 (c)w= (d) w =-6e (e) W = 4* +6xe (f) w = (g) w =-3e (h) w -2,1 8 2 te-2 11. Use the method of variation of parameters to find the solution to y"+3y' + 2 y = 4e (a) y,...
I need help with these! 3. (1 point) a) Compute the general solution of the differential equation y"5 12y" 0 b) Determine the test function Y (t) with the fewest terms to be used to obtain...
I need help with these!
3. (1 point) a) Compute the general solution of the differential equation y"5 12y" 0 b) Determine the test function Y (t) with the fewest terms to be used to obtain a particular solution of the following equation via the method if undetermined coefficients. Do not attempt to determine the coefficients.5y 12y"2 10e-tesin(V3t) Spring 2011) 4. (1 point) Compute the general solution of the following differential equations dz dy dt ii)(1y iv) (z cos(y) +...
1. Compute the Wronskian of the functions 3e3t and -2e2t and use it to determine whether or not they are linearly independent. Explain how you use the Wronksian to determine this.
TE 12. Determine a form for a particular Solution of the differential equation of the method of unde termined coefficients Bused. Do not try to find the values of the unknown efficients. Do not try to solve the differential equation. 34 y"-by' +9=563
Use the method of variation of parameters to find a particular solution of the following differential equation. y" - by' +9y = 2e 3x What is the Wronskian of the independent solutions to the homogeneous equation? W(11.72) = 0 The particular solution is yp(x) =
3 multiple choice questions
Two solutions to a second order differential equation are linearly independent if (a) their Wronskian determinant is zero. (b) their Wronskian determinant is nonzero. (c) they are not scalar multiples of one another. (d) they each have a corresponding initial condition. (e) Both (b) and (c) are correct. Given the differential equation y"+9y' = e-91, the correct guess for a particular solution would be (a) yp = Ae-94 (b) yp = (Ax + B)e-9r. (c) yp...
Use
Variation of Parameters to solve the following differential
equations
4) y" + 8y' +16y = e-45 ln(2)
In each of Problems 1 through 3, use the method of variation of parameters to find a particular solution of the given differential equation. Then check your answer by using the method of undetermined coefficients. 1. y" - 5y + 6y - 2 ANSWER O Y(A) = 2. y - y - 2y - 2e? ANSWER WORKED SOLUTION 2.4" - 4y + y - 16/2
22.1 A,C
depending on whether indefinite op de ol functions and an is never zero over this interval. Additional Exercises 22.1. Find the general solution to each of the following nonhomogeneous differential equations Use variation of parameters even if another method might seem easier. For your comve- nience, each equation is accompanied by a general solution to the corresponding homoge- neous equation a. ry" - 2xy' + 2y 3x, yn = cix + c2x2 b. y + y = cot(x)...
please do problem No. 3!
There are 3 problems in the first part of this homework assignment. Consider the following second order nonhomogeneous linear dif- ferential equations (1) y" + 100y = 36 cos(8x) + 72 sin(8x), (2) y" – 4y' + 3y = (2 – 12x)e" + (60 + 40x)e37, (3) Y" – 2ay' +a²y = 60xeQ2 + 60x’ear, where a + ( is a real nonozero constant. Use the method of unde- termined coefficients to find a particular...
10. In solving by variation of parameters, you must find the Wronskian, W. Find W for the differential equation y*-y-2y=e' lx You do not have to solve the differential equation. (a) W = 4 (b) w=1621 12 2 (c)w= (d) w =-6e (e) W = 4* +6xe (f) w = (g) w =-3e (h) w -2,1 8 2 te-2 11. Use the method of variation of parameters to find the solution to y"+3y' + 2 y = 4e (a) y,...
I need help with these!
3. (1 point) a) Compute the general solution of the differential equation y"5 12y" 0 b) Determine the test function Y (t) with the fewest terms to be used to obtain a particular solution of the following equation via the method if undetermined coefficients. Do not attempt to determine the coefficients.5y 12y"2 10e-tesin(V3t) Spring 2011) 4. (1 point) Compute the general solution of the following differential equations dz dy dt ii)(1y iv) (z cos(y) +...
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