What is the general solution of d = AY with A = [ O Y = k₁ O Y = k₁ Y = k₁ O Y = k₁ Y = k₁ [1] [ [1] FT T 4 +k₂e-9t -2 [- [²] + k₂e⁹t + k₂e⁹t + k₂e-9t + k₂e-⁹t -2 -8 2 4 -1 ?

Q: dx 3. If 8c²xy = (x² - y2)2, find- dy

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Which of the following is the particular solution to the DE y(9x – 2y)dx – x(6x – y)dy = 0; y(1) =…

A: Given differential equation is y9x-2ydx-x6x-ydy=0 and y1=1 Given differential can be written as:…

Q: kp - x² + 5x²+4x = 12+ + 30e to) = (0) (250)P x(0)=1, x'(0)=3 Solve the above IvP and then find OH…

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Q: 47. Solve for the general solution of (5x+3y-4) dx+(x+y-2) dy=0. a. 5x2 + 4xy + y? = C b. 4x? + 5xy…

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Q: 4. √e³x - e²x dx = 3 A. ² (ex - 1)² + C < B 3 B. (e³x - e²x) + C 2|32|3 C. 2/3 3ex - 1 √2 3 D. ²/7…

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Q: 9. If F(x) X-1 = Q(x) r. R(x), F(3) = 15 and Q(3) = 7, what is R(3)? а. -1 b. 0 С. 1 d. 2 e. 3

A: To find- R(3)

Q: Find the general solution of the following DES. 7. (8x¹y6 + 3x³) dx + (12x5y³ + 3xy²) dy = 0 8.…

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

Q: What is the particular solution of (3y? + 10ry?) dæ + (6zy - 2 + 10x?y) dy = 0 when x = 1 and y 2 ?…

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Q: 12. In the diagram, KN = x − 5, JN = x + 19, LN = x+4, and MN = x + 1. Find the value of x.

A: In the diagram, .To find the value of .

Q: 1 If = 1/2 = = a + b and ¹ = a - b, then x - y is equal to: x y

A:

Q: Which of the following is the general solution of: y(x+1) 2 dy dx x Select one: O a. 2lny = x - ln x…

A: Given problem :- 2dydx=yx+1x

Q: Prdlem 6.36 Pert B)

A: It is double Integral

Q: 5. Find the general solution of the given DE: dy 2x + 2xy2 y+ 2x2y dx A. 1+ y? = c(1+ 2x2) C. 1- y?…

A: Topic - differential equations

Q: Find the general solution of the D.E. y(2y+ 4x – 2)dx – 2(x+ y)dy = 0. a. 2xy + y? = ce-3* c. 2xy +…

A: Use integrating factor method

Q: 9. What is the solution of (x? + 2xy – 4y² )dx – (x² – 8xy – 4y² )dy =0 ? a. x? - 4y? = c(x-y) b. x?…

A: This is homogeneous differential equation. For solving this we will assume,  Y/X = V dy/dx = v -…

Q: 8. Solve the general solution of y(x² – y²)dx + x(x² + y²)dy = 0 A. 2x² In(xy) + y² = Cx² B. 2x²…

A: Differntial eqaution

Q: 2. For the given DE: dy ху — у dx x2 - 5x + 6 2a. Find its general solution. А. у (х — 2) 3 С(х +…

A:

Q: Solve (1- + xp z_(hx [y² + x² (1 1)-2] dy : dy = 0 xy)

A: We have to solve the given differential equation.

Q: Consider the d.e. (x - 2y)dx + ydy = 0. Q7.1 The d.e. can be solved by the substitution (select one)…

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Q: Given (x? + 6y? ) dx - 4xdy = 0, whenx = 1, y = 1. Find the particular solution. O a. y? x? = 2(3x…

A: Note: Looking at the options there is a typing mistake in the question. It should be:

Q: dy Find the solution of the Bernoulli's equation x + 6y = 3xy4/3. dx 1 1 а. у b. y (x2+cx)3 (x+c)3 1…

A: We solve by Bernoulli's equation.

Q: .Obtain the genmeral solution of (x² + y²)dx + xydy = 0 А.x* — 2х?у? — С В.х3 + 2x?у? %3 С C.x* +…

A: (x2+y2)dx+xydy=0(x2+y2)+xydydx=0xydydx+y2=-x2dividing xy on bth sideydydx+y2x=-xThe general solution…

Q: 9. If dy = xy² and if y = 1 when x = 0, then when y = 3, x is equal to dx 0 -0 DIE

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Q: In x Compute -dx. 3√√/x 9 X 3 A²x²0 nx-x²²+ C A.- In 2/3 2 4 1 B.- - +C X 3 4/3 4 3 C.--(In x)x-4/3…

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Q: Integrate I x² √x6 +25 dx + C

A: