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Are the functions fi (x) = ex+4 and fz(x-er-5 linearly dependent or independent? A. Linearty dependent...
Are fi (x) = х, (x) = x2 , and f, (x) = 3x-8x2 linearly independent...
Are fi (x) = х, (x) = x2 , and f, (x) = 3x-8x2 linearly independent or linearly dependent on (-oo, oo)? O A. Linearly independent OB. Lineary dependent Are fiC) 3.f)sin (), and fs)co()linearly independent or linearly dependent on (-00, 00)? A. Linearly dependent B. Linearly independent 0 on the interval (-00, 00)? Arefi (x)-e-4x and fa (x)-es solutions to the differential equation y"-y-20y A. Yes B. No Are fi(x) -e and f(x) - e lineary independent or lineany...
Question 5 Is the set of functions linearly dependent or linearly independent? f(x) = 7, g(x)...
Question 5 Is the set of functions linearly dependent or linearly independent? f(x) = 7, g(x) = 5x +1, h(x) = 3x2 - 4x + 5 Linearly dependent Linearly independent Have no clue... Question 6 Given a solution to the DE below, find a second solution by using reduction of order. r’y' – 3xy + 5y = 0; y1 = r* cos(In x) y2 = xsin(In x) y2 = x2 sin Y2 = 2 * sin(In) . . y2 =...
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...
(16 points) Determine whether the given set of functions is linearly dependent or linearly independent on...
(16 points) Determine whether the given set of functions is linearly dependent or linearly independent on the indicated interval. Justify your answers. (a) (8 points) fi(x) = x + 2cos²x, f(x) = 3sin’x, f(x) = x + 2 on (-0,co). (b) (8 points) fi(x) = e34 and 12(x) = e 4x are solutions of the linear homogeneous differential equation y" + y' - 12y = 0 on (-0,co).
A9.4.13 Question Help Determine whether the given vector functions are linearly dependent or linearly independent on...
A9.4.13 Question Help Determine whether the given vector functions are linearly dependent or linearly independent on the interval (-00,00). Let x = Select the correct choice below, and fill in the answer box to complete your choice. 5t O A. The vector functions are linearly dependent since there exists at least one point tin (-00,00) where det[xy(t) x2(t)] is not 0. In fact, det[x4(t) x2(t)] - OB. The vector functions are linearly independent since there exists at least one point...
Consider the following functions. fy(x) = x, fz(x) = x2, f3(x) = 2x - 4x2 g(x)...
Consider the following functions. fy(x) = x, fz(x) = x2, f3(x) = 2x - 4x2 g(x) = C7f1(x) + c2f2(x) + c3f3(x) Solve for Cy, cy, and cz so that g(x) = 0 on the interval (-00, 00). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.) {C1,C2,C3}={C } Determine whether f1, f2, fz are linearly independent on the interval (-00, 0). O linearly dependent O linearly independent
ǐ Question He. Determine whether the given functions are linearly dependent or linearly independent on the...
ǐ Question He. Determine whether the given functions are linearly dependent or linearly independent on the specified interval Justify your decision Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The functions are Iinearly dependent because for constant values,e, and cy, the equation cye S .r has the solution c, and c O B. The functions are linearly independent beceuse there are no constant values,e, and eg, that make the...
Determine whether the given functions are linearly dependent or linearly independent on the specified interval. Justify...
Determine whether the given functions are linearly dependent or
linearly independent on the specified interval. Justify your
decision. Thank you!
Determine whether the given functions are linearly dependent or linearly independent on the specified interval. Justify your decision. {e 3*, e5x, 27x} on (-00,00) e Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 3x 5x + =e and C2 A. The functions are linearly dependent because for constant values, C1 and...
1. (16 points) Determine whether the given set of functions is linearly dependent or linearly independent...
1. (16 points) Determine whether the given set of functions is linearly dependent or linearly independent on the indicated interval. Justify your answers. (a) (8 points) S(x) = x + 2cos?x, S2(x) = 3 sin’x, S(x) = x + 2 on (0,0). (b) (8 points) (x) = and f(x) = differential equation " + 1" 4x are solutions of the linear homogeneous O on () 12
use order of reduction formula to find 2nd linearly independent solution to de x^2y" - 9xy'...
use order of reduction formula to find 2nd linearly independent solution to de x^2y" - 9xy' + 25y = 0 if y(x) = x^5 is one solution to the de
Are fi (x) = х, (x) = x2 , and f, (x) = 3x-8x2 linearly independent or linearly dependent on (-oo, oo)? O A. Linearly independent OB. Lineary dependent Are fiC) 3.f)sin (), and fs)co()linearly independent or linearly dependent on (-00, 00)? A. Linearly dependent B. Linearly independent 0 on the interval (-00, 00)? Arefi (x)-e-4x and fa (x)-es solutions to the differential equation y"-y-20y A. Yes B. No Are fi(x) -e and f(x) - e lineary independent or lineany...
Question 5 Is the set of functions linearly dependent or linearly independent? f(x) = 7, g(x) = 5x +1, h(x) = 3x2 - 4x + 5 Linearly dependent Linearly independent Have no clue... Question 6 Given a solution to the DE below, find a second solution by using reduction of order. r’y' – 3xy + 5y = 0; y1 = r* cos(In x) y2 = xsin(In x) y2 = x2 sin Y2 = 2 * sin(In) . . y2 =...
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...
(16 points) Determine whether the given set of functions is linearly dependent or linearly independent on the indicated interval. Justify your answers. (a) (8 points) fi(x) = x + 2cos²x, f(x) = 3sin’x, f(x) = x + 2 on (-0,co). (b) (8 points) fi(x) = e34 and 12(x) = e 4x are solutions of the linear homogeneous differential equation y" + y' - 12y = 0 on (-0,co).
A9.4.13 Question Help Determine whether the given vector functions are linearly dependent or linearly independent on the interval (-00,00). Let x = Select the correct choice below, and fill in the answer box to complete your choice. 5t O A. The vector functions are linearly dependent since there exists at least one point tin (-00,00) where det[xy(t) x2(t)] is not 0. In fact, det[x4(t) x2(t)] - OB. The vector functions are linearly independent since there exists at least one point...
Consider the following functions. fy(x) = x, fz(x) = x2, f3(x) = 2x - 4x2 g(x) = C7f1(x) + c2f2(x) + c3f3(x) Solve for Cy, cy, and cz so that g(x) = 0 on the interval (-00, 00). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.) {C1,C2,C3}={C } Determine whether f1, f2, fz are linearly independent on the interval (-00, 0). O linearly dependent O linearly independent
ǐ Question He. Determine whether the given functions are linearly dependent or linearly independent on the specified interval Justify your decision Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The functions are Iinearly dependent because for constant values,e, and cy, the equation cye S .r has the solution c, and c O B. The functions are linearly independent beceuse there are no constant values,e, and eg, that make the...
Determine whether the given functions are linearly dependent or
linearly independent on the specified interval. Justify your
decision. Thank you!
Determine whether the given functions are linearly dependent or linearly independent on the specified interval. Justify your decision. {e 3*, e5x, 27x} on (-00,00) e Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 3x 5x + =e and C2 A. The functions are linearly dependent because for constant values, C1 and...
1. (16 points) Determine whether the given set of functions is linearly dependent or linearly independent on the indicated interval. Justify your answers. (a) (8 points) S(x) = x + 2cos?x, S2(x) = 3 sin’x, S(x) = x + 2 on (0,0). (b) (8 points) (x) = and f(x) = differential equation " + 1" 4x are solutions of the linear homogeneous O on () 12
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