7. Find the general solution: y(x? + y²)dx + x(3x² – 5y²)dy = 0 a. y³(y² – x²) = cx b. 2y3(у2 — х?) %3 сх с. Зу? (у? — х?) %3 сх d. 4y3(y2 – x²) = cx -

Q: . Describe and show two methods of solving the equation r – 5/I + 4 = 0

A:

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

A:

Q: Solve a0 = 1, a1 = 3 and an = an−1 + 6an−2, for n ≥ 2.

A: We will start with the trial solution, an = rn for all n > 0

Q: 10. Solve for x: 5x- 2(x + 1) = 10. %3D

A: Given equation,                         5x-2(x+1)=10

Q: Consider the equation I1 +2 +13 = 25 where r1, r2, r3 € Z.

A: Consider the given equation: x1+x2+x3=25 His aim is to find the solutions for x1≥0, x2≥-3, x3≥0 and…

Q: 2x + y = 20 -5y + 6x = 12 %3D %3D SOLUTION:

A:

Q: Solve. 3 (2x – 5) – 4 (6 – 5æ) = 6 (7x – 2) - - -

A: Find value of x

Q: Determine whether y, = 3e2t – e-3t and yz = 2e-3t – 6e2t form a fundamental set of solutions. HOW…

A: We have to determine whether the given set of solutions y1 and y2 form a  fundamental set of…

Q: Match the equation with the number of solutions for x that are possible. Column A 1. 2. 3. 4. 5.…

A: Detailed solutions are given below.

Q: Is -2 a solution to 30 = -5(6n + 6)?

A:

Q: 3. Solve: 22-(-18)+7+(-42)-27 =

A:

Q: 3. For each of the following, decide whether there is one solution, no solution or infinitely many…

A:

Q: 6. The formula for passing efficiency P in NCAA football is: P = 8.4Y+330T+100C- 2001 ; where Y is A…

A: We need to find the number of completed passes.

Q: 4. Does a+x- 3= 0 have a positive solution? Explain.

A:

Q: 38. Determine the solution set for the equation (x – 3)? + (y + 12)? = 0.

A: x-32+y+122=0x-32=-y+122x-32=-y2+24y+144x-32=-y2-24y-144For gx2=fa the solutions are gx=fa,  -faThe…

Q: 23x-6 =8x-2 no solution or infinitely many olutions

A:

Q: 1. Solve for x. Let Solution 1 be the solution with the lower value. Let Solution 2 have the higher…

A:

Q: What value of x is in the solution set of 2x – 3 > 11 – 5x

A:

Q: 5. 16yk+2 Solve the difference equation + 8yk+1+yk = 6-k, yo = 4, y₁ = 1

A:

Q: 3.) Solve F = 2C+ 32 for C %3D

A: Given :F=95C+32

Q: 4) Solve for x. Verify that your solution is correct using substitution. – 12) + 3x = 24

A: The objective of the question is solve the given equation and verify .

Q: 2. -x+4y >- 12 A solution is:

A: We have to find the solution

Q: Solve the

A: Given: b) yk+1=k-k2-k3yk To solve: The given equation.

Q: 3. Which of the following is the solution set of the equation 4x – 12x – 19 = 0 ? 5 (1) ±V3 (3) +v7…

A:

Q: Cannot solve

A:

Q: 9. Solve using u-substitution: 2x-2 + 5x-1– 12 = 0

A: Given 2x-2+5x-1-12=0 Solve using u- substitution

Q: 7. Solve the equation for x. /3х — 4 %3D 2

A: Correct answar is x=4.