• 2. Solve by VP: y"' – 3y" + 2y' - et 1+e-x Hint: Answer is y = C1 + €ze* + c3e2x + (e* + 1) -In(e* + 1) –e2* In(1 + e-*) |

Q: IV. Solve for x using the fact that if a" = a", then v = w. (Show solution) 6) 5x-1 = 0.042x %3D 7)…

A: Use the fact, "If av=aw, then v=w" to solve the following equations for x.

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A: Second option is correct. See the attachment

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A: We have to check the given equation has solution or not

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Q: -1/2 6) xdy+ydx=(x²+y')"/?(xdy-ydx)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: Consider the vector. X→×Z→×Y→=X→·Y→Z→-X→·Z→Y→

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Q: b) 33.xª-b+c where A = c) " +3x²+c = where A = and C= (3+x)¹¹/2 - 3(3+x) ⁹/² = (3+x)⁹/2. A, where A…

A: To find the unknown quantity.

Q: Solve for X using AX = B or X = AB -54 2 0 3] A =|0 5 4 B = 12 3 2 0 32

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Q: 10) Solve = 12 1-ex 11) Solve e2x – e* – 6 = 0 (hint: use substitution and factor) 12) Solve 2x2e2x…

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Q: y = nedir? (a) (b) (c) (d) (e) In(x² - 4) tan-¹ (²-1) fonksiyonunun tanım kümesi (-∞, -2) U (2, 3) U…

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Q: The number of non-negative integer solutions to the equation Y₁ + x3 + x4 + x5 + x6 = 7 is C(7+5-1,…

A: The given problem is to find the number of non negative integer solutions for the given equation by…

Q: Solve (x²y + y³) dx 5(1+x²y-²) 18 18(1-y²x-2) 5 a. b. C. d. X Y X y = 18(1-x²y-2) 5 5(1+y²x-²) 18…

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Q: Which 2 of these 3 equations are the same explain how

A: I From the graph  vertex = ( 4 , 2 )x intercept (2 , 0 ) and ( 6 , 0 )

Q: 하금 Find au du dx and 좀 하 dy (a) yuand u = x2 +2 dy (b) y = us and u = 4x2-x + 6

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Q: 12 dx x3 - 2x -63X answer In (x -9) 3 I In Xt In (x+7) + C' 12 21 28

A: Solution:GIven∫12 dxx3-2x2-63xFormula:∫1xdx=log x+C

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A: First we will do the partial fraction and find the nth term of the series as fractions then we will…

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A: We have to find

Q: Q: Interpret the yate of change of (31+5) (4u+2) with respect (2x+3) to

A: This question related to derivative.

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

A: Given: i-12--i-12+i4 ,  i=-1

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Q: rcosck) X)= 2メ+ hca) + ě Uf)→ at メ=3 @ fiw) = O (fuda (x)

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Q: seA (D²-D-6)y(x) = xe sled a 1 1 *(5x + 2) - y,(x) = xe"(5x- 2) - y,x)= xe" (5x +2) -i 50 50 50

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A: lnx-3lnx+2=0

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Q: Evaluate using Algebraic Substitution: dx (x² –a²)³/2 /x² -a² +a + C 1 + In |V /æ² -a² /1²-a²+x -…

A:

Q: 2² L 7s+2 7s+2 C-²{(5²+ - 2)2} +2)(s-1)(s-2)] S²+2)(S-1)(5-2) 2 1 As + B (5²+2) + 23/25 - 11/12…

A: