Use the method of undetermined coefficients are given. A = x(t)= 7 -5 5 -5 75, f(t)= 5 57 4e7t 8e7t -4e7t o find a general solution to the system x' (t) = Ax(t) + f(t), where A and f(t)

Q: The linearization of y = (6x- 11)2/3 at a = 2 has the form L(x): = mx +b, Find the values of m and…

A: We have to find out

Q: Find the solution. (x³+3y) dx – xdy = 0 y = 2r$+ cx³ B 2y = x + cx³ © x = 2y5+ cx³ Dy = 2r5+ cy3

A: Correct ans is option - B

Q: Find the solution using undetermined coefficient method (0²-1)y = 8x cX 0

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Q: Solve the equation using Reduction of Order (D² - 5D + 6) y = 2e* Oy=e+c₁e²x + 2c₂e³x Oy = √² + ₁³x…

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Q: Solve for z when f(z) = 0 where f(z) = 12z² + 25z + 12. Z=

A: We can find the value of 'z' by solving the quadratic equation in the below steps.

Q: Determine general solution of: y(5) - 8y" = t² + 6t+4+et

A:

Q: Solve for fx(-9, 9) and fy(-9, 9). f(x, y) = 5x2 + 8xy + 4y2 + 6x − 9y; (−9, 9)

A: Given:fx,y=5x2+8xy+4y2+6x-9yTo find:→fx-9,9→fy-9,9

Q: Find the solution. (4D³-3D + 1)y=0 A y = (₁+₂) ²¹/²+c₂e² Get ® By y = (c₁ + ₁₂x) e */2² + c₂e²r x/2…

A:

Q: max-2x1-x²-x3 s.t 1 + 2x2 + x3 = 1 4x1+3x2+2x3 1, 2, 3 > 0 = 2

A: We have to find the maximum value of fx1, x2, x3=-2x12-x22-x32.Subject tox1+2x2+x3=14x1+4x2+2x3=2x1,…

Q: Eliminate the arbitrary constant. y=Ax² + Bx³ 7xy "-x²y + 15y = 0 A (В) B (C) D x²y-7xy "+ 15y = 0…

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Q: a va?-x? a²-x² (x + y) dydx

A: We have to find the value of given intregation.

Q: Eliminate the arbitrary constant. y=Ax 5+ Bx³ A B 7xy "- x²y + 15y = 0 D x²y '- 7xy "+15y = 0…

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Q: The cost per day to society of an epidemic is C(x, y) = 40x + 230y where C is in dollars, x is the…

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Q: à = 3j - 4 k b = -3i+2j + k c = 2 i 3j - k Find d, if d = a + 25 + č d j+ - 2 + k

A: This question is about vector calculus

Q: Find curl (5z i + 6x j + 2y k). curl (5z i + 6x j+ 2y k) = ( i )i + ( i )j + ( i )k Save for Later

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Q: If f(x,y) = 2x2-5xy+y?, find the value of f(1,2). A -2 -3 -4 D -5 B.

A: f(x,y)=2x2-5xy+y2

Q: Step 1 Find the slope m of the line. m = m =

A:

Q: -x + y -z = −17 2xy + z = 3x + 2y + z = (x, y, z) =

A: -x+y-z=-17......(1)2x-y+z=24......(2)3x+2y+z=16......(3)

Q: = (2xy + z² )i + (x² +z)j + (y + 2xz)k, determine a possible value for .

A:

Q: Is (-2 , 2) a solution of y = 1/2x + 3 ?

A: The given equation is,

Q: Solve for ‘x’ and ‘y’:(a – b) x + (a + b) y = a2 – b2 – 2ab(a + b) (x + y) = a2 + b2

A: Given,

Q: solve (x? + y) dx + (y³ + x) dy = 0. A yª + x + B + x + y + (c) = C ,3 3/7 3/4

A:

Q: If (x + 1, y – 2) = (3,1), find the values of x and y.

A:

Q: x = (1- y)*(3y +1) ;y"

A: Answer is given in next step.

Q: 2. obtain the general solution. a.(D - 3D + 2)y = 2x – 9x2 + 6x. b.(D2 + 4)y = 5e - 4x. c. (D² + 4)y…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: (D² – 3D + 2)y = 2x3 – 9x2 + 6x. Find the solution. * c,e* + c2e2x + x³ + 1 ce* + cze2* +x³ ce* +…

A: Second option is correct

Q: 2a - 5y dA, R =(-5,4] x [0, 3] R.

A:

Q: 3 ν1+ x2 χdx

A: ∫fxnf'xdx=fxn+1n+1,n≠-1

Q: Solve (D+ 1)3y = 0 O a. y = Ce*+c>xe* + czx²e* O b. y = ce-X+ czxe-* + czx²e¬x O c.y =…

A: Given differential equation, D+13y=0 To find the solution of this differential equation.

Q: Solve y dx - (axdy + a²dx) = x²(y² - a²)dy

A: