Q3. Given that y, - -3r²e¬#, y2 = 7x" are solutions of a linear homogeneous equation with constant coefficients, (b) what is the (minimal) order of the equation?

Q: Which equation has x-intercepts of (3, 0) and (7, 0)? O y = z + 10z + 21 O y = r- 10x + 21 O y = 12…

A: (3,0) and (7,0) satisfy the required equation

Q: 2. ryy = y² – x²

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Q: Solve the homogeneous equation with constant coefficients (D* -8D2 + 15)y = 0

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Q: Q2: Solve T" – c? uT = 0 given c = 3 and u = -1?

A: First I have put the given values into differential equation and then by method find the solution.…

Q: hich of the following values are solutions of y < 2x + 3? a. (0, 2) only b. (-1, 1) only c. (0,2)…

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Q: Q2. Determine all integer solutions (x, y), such that 0 ≤ a, y ≤ 100, to the following linear…

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Q: GIVEN: (xn , yn) = (1, 3), (2, 4), (4, 7), (5, 9) Determine the best-fit quadratic curve that…

A: GIVEN: (xn, yn)=(1, 3), (2, 4), (4, 7), (5, 9) we have to determine best-fit quadratic curve that…

Q: 12. Exact equations: Solve: 3xy²dx + (3x²y + 4y²) dy = 0 O ry + y* = c O r?y² + y* = c

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Q: Which of the following is the standard equation of 9y² – x² + 2x+ 54y+62

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Q: Oues: Solve:- min flx,,) = (x, - 1)*+ Cn3- 1)? Subrected to n, +22=4 X,ー-2 き6 Hint : Convert to…

A: Given that,minx1, x2fx1, x2=x1-12+x2-12Subjected tox1+x2=4x1-x2-2≥0The minimum of the given function…

Q: Solve for (x, y, z): 2x-2y+z=10 x+y-4z = - 17 3x-y + 2z = 13 O (4, -2, 1) O (1, -2, 4) O (2, 4, -1)

A: We have,  2x-2y+z=10 , x + y - 4z = -17 , 3x - y +2z = 13

Q: y" + 4y + 4y = e-2x x²

A:

Q: 4.) A particle's motion is represented by the position equation s(t) = t²-t, t≥0, where s is…

A: Solution:A particle's motion is represented by the position equation s(t) = t² - t, where s is in…

Q: Find the general solution of a = y+2x. O a. y = -z(Inz +c) O b.y = a (2ina +e) O c.y = a(2ina +c) O…

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Q: 12. Expand and simplify. (5x + 3y)²-(4x + y) (6y - x) 13. The formula V = nr³h represents the volume…

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Q: 18. Find the standard form of the equation. 36x + 288x+64y² -768y +576= 0 (x-6)° ¸ (v+4)² _ [A] 1 36…

A: Given equation

Q: is a solution of y"+ry 0 and write the

A: a) Unifom convergence of power series solution to the differential equation   implies that we can…

Q: Q1. Solve the following first order equations: (a) (r²y² + 1)dx + 2x²dy = 0, use the substitution ry…

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Q: Classify and Solve; Find the complete solution for the ODE ( D³-5D²+8D-4),y=e²x +2e+3e*)

A: This is a problem of differential equation. Total solution of this equation is sum of complimentary…

Q: of the form ₁ = x²(1+₁x + ₂x² + 3x³ + ...) Enter C1 = Find the solution of 4x²y" + 6x²y + y = 0, x>0…

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Q: 5-3x S2 4 Solve (1) ans./ [-1, co)

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Q: Solve the IVP y" – 8y' + 25y = 0; y(0) = 2, y'(0) = 2

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Q: 1 4. (1+2)y/ + 2ry = (1+2)y

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Q: 3.a) Eliminate the Arbitrary Constants in the equation: y = C1sin(2x + C2) y" + 4y = 0 у' — 4у%3D0 O…

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Q: Find the general solution to the equation y(4) – 16y" + 64y" = 0. NOTE: Use С), С9, Сз, апd сд as…

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Q: Q/ Solve the DEs: 1-a+ykdx+(1+x*)dy = 0

A: 1-(1+y2)dx+(1+x2)dy=0

Q: 4. Simplify: (i – 1)² – (-i – 1)² + i*, i = v-1

A: Given: i-12--i-12+i4 ,  i=-1