I have included one line of the whole solution in the questionnaire. Analyze if this included part of the solution is TRUE or FALSE. 1. y = In(1 – 5y² + y³) Solution: -10y-3y² y' 1-5y2+y3

Q: Find y" Зх +2 y = 2х- 3

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Q: Find a real general solution. x?y" – 2y = 0.

A: The given differential equation is x2y''-2y=0. Clearly, the given DE is a second order Euler…

Q: y-x = 3 5x = 18 + 2y

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Q: Find the general solution. 1. (D2 + 3D − 18)y = 0

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Q: Find the general solution. 3. (D + 6D3 + 9D?) y = 0

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Q: 2y+8 2xe to %3D y10)=8= , yco= 2

A: I have solved by using formulas and series expansions.

Q: 4. Find the general solution of (x³ + y³) dx = 3xy? dy A. -3x3 + 2y3 Cx B. 7x3 + 2y3 = Cx C. -6x3 -…

A: According to question, Given differential equation, x3 + y3 dx = 3xy2 dy

Q: Solve the system.

A: Given:   0.11x - 0.03y = 0.25                . . .(1)               0.12x + 0.05 =  0.70…

Q: 2. Determine the complete solution of xydy – (x + 2y)²dy = 0 %3D

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Q: Show by direct substitution that is a solution of y" +xy=0_ _and write the general solution.

A: Given that, y=xj1323x12 And the given differential equation is, y''+xy=0...1 The solving by power…

Q: 5. y"+(x- 2)y = 0. Solve for about x =2

A: Given differential equation is ,                                     y" + (x-2)y = 0 (.)    x = x0…

Q: 2 - ry + y + 1 1 y = +x - 1; y" =

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Q: The equation 5z + zy = C is the general %3D Sz- 10 - A 10

A: The general solution of the differential equation: - A differential equation is an equation that…

Q: Show that this equation has a solution within [1,2] ?? Please indicate what theorem you are using.…

A: f(x) = xln(3x)−3 a = 1 b = 2

Q: Solve the given equation.. (e2x +y-1)dx dy = 0 a. b. y = Ce* + e²x + x y = Ce=x+1+e²x y = Cex +1+e²x…

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Q: b. tds (t³e³t + 3st + sdt = 0

A: tds-t3e3t+3st+sdt=0

Q: 3. (x* + 2)(x – 10) = Colve for "X": 2 4. Y= x -

A: Given that

Q: Solve the equation for x and y x+v=300 5x+8y=2100

A: Given query is to find the solution of the system of equations

Q: The general solution of the s.o.d.e y"-4y'+13=O is

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Q: Solve the differential Egueations Zydx - (3xy*dx- xdy =0 When

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Q: (b) (12xy2 + 6y + 3e*)dx + (6x²y + 2x)dy = 0

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Q: Solve the given equation.. (3x?у +2ху + у?)аdx + (x2 + у?)dy %3D0 (3x?y+y)e3x = C (3x?y + y³)e3x = C…

A: Recall:  If the equation M(x,y)dx+N(x,y)dy=0 is not exact and ∂M∂y-∂N∂xN is a function of x…

Q: 37. Determine the solution set for the equation (x + 1) + (y – 5)? = 0. %3D

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Q: Solve: 4 x-4 2x+6 1 O A. 60 O B. 15 C. 60 60 O D. 17 60 O E. 13

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Q: Solve the given equation.. (3x² + y)dx + (x²y-x)dy=0 a. b. C. ²- +3x=C x²y²+x²y + x4 = C x² - + x =…

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Q: 4dx + (x — у + 2)?dy %3D 0

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Q: Consider the equation: ay" + by' + cy = g (t) where a, b, and c are positive constants. 1. If Y1 (t)…

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Q: Solve algebraically forx, and y a. x2+ y2 25 x+y= 1 b. y2-x2 16 3x + 5y 16 %3D

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