x² +1 4. хе'dy+ +In |x=c Separate the variables and ans: e'(y-1)+ y 5. 2xy dy 1 dx y? = x? +c 3 solve. ans:

Q: Differentiate. x4 y: 3 — х3 y' У -

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Q: (2x+3) 8. S- (x2 +x+2)2

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Q: dy Зу +4 Find the general solution: %3D dx 2y + 3

A: Topic - differential Equationd By separating Variables method

Q: Find the solution. y'• ty ty" © y- (1-c, y- - (1-co")

A: We have to solve y'+ty=ty3 This can be written as: y'+ty=ty3⇒1y3y'+tyy3=t⇒1y3y'+ty2=t⇒1y3dydt+ty2=t…

Q: Solve 3- (1 + x)y' – xy = 1 - x x .. 2 د. علشان مایه رندار

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Q: y' + y = -I 4re 1+ yez discussed so far. Gue

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Q: d?y dx3 Solve - 27y=0 O a. y = ce -3x + e7*(c2cos- 3/3 x+C3sin 3/3 -x) 2 Ob. OBy=c,e3x +e"(c,cos 33…

A: We have to solve given problem:

Q: ©Use TMe Phopentos to Eselaate dx=D4 (2) 3 x da= 2

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Q: Choose the correct answer If x2 + y2 = 9, then y'=...  -y/x  y/x  -x/y  x/y

A: We have to find y'

Q: uation: Solve the e * + 2xdy = 0. = x

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Q: Using basic rules of integration, find a. dr b. Jrdx c. fx'(-2r² - 8)dx 12x² – x d. xp- -dx 1-3х e.…

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Q: x+1 If y 2х — уx then y' will be.

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Q: Find y'. y=(4x-4)(2x+1) OA. 16x-2 B. 8x-4 OC. 16x-12 OD. 16x-4

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Q: 23. (1.4) Solve y +2 = (4x + 2y + 6)-'e2«+v+3.

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Q: Find y' and y" for x² + 2xy − 3y² = 41. Simplify. -2x - 2y 2x - 6y y" = help (formulas) y' help…

A: Given query is to find the second derivative of the expression

Q: In Calculus you will see the symbol y'. Treat y' as a variable and solve the equation for y. 6y²y +…

A: To solve the following equation for y'. 6y2y'+30xy+6x2y'=5y2+25xyy'

Q: Solve the diff eq (ху?+x-2у+3)dx +(x?у — 2х - 2у)dy %3D0

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Q: 2. dx 2. Solue integra

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Q: Solve Hhe difforenhal aquahon d3y dx3 2X (I+x)e -7 -

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Q: Evaluate les-). d 3x dx OA (3x³- x?)e3x²-x?-1 O A. ² – x² – 1 OB. O B, e oc (9x² - 2x)e³x³-x? OC.…

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Q: Solve ÿ + 6ỷ + 9y = 0 dy + 2y = e-4 dx d²y + y = 0 dx2 dx²

A: Note : There are multiple questions. Here is the solution of first question. Given differential…

Q: Slimplify 3z X -9z а. -2723 b. С. -923 d. 27z е.

A: Given problem Given that

Q: Calculate y" and y"'. y = x4 − 25x2 + 2x

A: Use the power rule and sum rule and difference rule of derivative:

Q: dy - (1+x)у -ху? .2 1.) х- dx

A: