Which of the following is not a differential equation? d²y = 12 +2 O A. dt² O₂ B. O C. D. 4+y = 2x + d (x-x³)dx=4-y2 y' = 0 +²=5+ (ds) ²

Q: State the order of the differential equation and determine whether the equation is linear or…

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Q: Which of the following is an integrating factor for the differential equation? ty' – (t + 6)y = 4…

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Q: Use the method of comparing the coefficients to find a particular solution for the differential…

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Q: Determine which is the pure time differential equation, which is the autonomous differential and…

A: Given equations:  dfdt=e-t2                 ............................(1) y'=3y+y2…

Q: Solve the differential equation. dy y + 1 dx O In |x| – ? () = tan - ex - x + tan-'(x) = C In |x| –…

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Q: 1. Find the order (write in number) for * y² d²y dx2 d5y 3x + 4x = 0. dx5 Your answer 2. + 4x = 0 is…

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Q: The following differential equation is considered dy - = x- 3y dx Determine whether the differential…

A: Homogeneous differential equation : If the ordinary differential equation is written in the form of…

Q: Form the differential equation for the function y = ae3x + be-3x O a. y" +2(y)2 = 9y? O b. 2yy" -…

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Q: Determine the order and degree of the differential equation 1. = 5xy +1 2. d 2dy 1 dx

A: GIVEN : 1) dydx = 5xy +1               2) dd2ydx2 + 2dydx = 1

Q: 2. [x+y + 1) dx + (2x + 2y - 3) dy = 0, y (8)= -4

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Q: erential equation: an y = x2. If y(0) e value (corrected up fy(1)?

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Q: B. Which of the functions are solutions to the differential equation? 2. y' - 5y = 0 (a) y= 5, (b)…

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Q: y is related to x through the differential equation: dy dx = ax + bx² + dx³ and y = c whenx = 0…

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Q: For what value of is the differential equation (6zy + cos y) dr + (3ka²y? – 3y?) dy = 0 exact?

A: Exact differential equation

Q: degree dy 6. dx = cos X d²y' dx2 2 (dx + 2b + y = 0 7. y" + (2y')2-y = 4x 8. 9. yy" + 2x3 = 0 10. y'…

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Q: The substitution u = x - y transforms the differential equation into which of the following…

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Q: y = c1 e(-2+v3)x + c» + c2 e(-2-v/3) z

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Q: Solve the differential equation: dy X-- dx - y- - /x2 + y? = 0 ; y(V3) = 1 a. x² + 2y = C b. 2x? +…

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Q: Which of the following is the general solution to the differential equation + 2x - 2x*y'dy dx+ 2x

A: We have to find the general solution to the given differential equation.

Q: Solve the given differential equation : dy x² – 2xy = 3y*, y(1)=1/2 dx

A: We will find out the required solution.

Q: d²x d²y 9. x- dt² C1. Y at² di 10. L+ Ri = E. dt

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