dy If y = e8z+13 then- dx O 7e8z+13 O 13e8z+13 O 9e8z+13 O 8e8z+13 O 104e8z+13

Q: d²y 5. If y = 4sinx + x²cosx + 4x then find dx2

A:

Q: O)³ = /1+ (y')² = /1+ (y')* = 3 + d²y dx2 a3y 3? +1 ax3 at

A: Note:  according to our guidelines we can answer only first three subparts To determine the order…

Q: dzy 5. If y = 4x3 + 3cosx + x2sinx + then find dx2

A: Formula of derivativ y'=dy/dx and d²y/dx² = y"

Q: dy If 2y = xlnx, then dx (In x)xinx (xinx) In x (b) (d)(In x)xanx) 2

A:

Q: Inx+ 1 dy If y = then %3D 2x3 - 3x' will be dx (2x – 3x) + 1) – (In x + 1)(6x² – 3) А. (2x³ – 3x)² -…

A: Use the formula of differentiation of fraction of Two functions in same variable.

Q: dy ху+3x-у-3 7. Ans: y-x+In y+3, %3D = C dx ху-2х+4у-8

A:

Q: dy 2ty ii) 12+1 - 21 – (2 – In(t² +1)) = 0; y(5) = 0

A: Differential equation of the form Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x Given differential…

Q: dx 11. Evaluate - V4x² +9 in(2x - Vax" + 9) + C In (2x+V4x² +9)+C А. C. In 2x + V4x? +9)+C D. In(2x…

A:

Q: B) dy = 8xex2. 9) y = e4x² + x A) dy = 8xe2x + 1 dx B) dy = 8xex2 + 1 %3| C) dy = 8xe + 1 D) dy -…

A:

Q: (v) er-y de +e**"dy = o

A: We will solve the differential equation by the method of separation of variables.

Q: Evaluate " " So s L dz dx dy rvZ c3y (8-x²-y² Jx²+3y²

A:

Q: x²V4x +1 dy then dx If y = In (x³ + 5)3

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Q: dy = ay + by", dt a > 0, 6 > 0, -∞ < Yo < ∞

A: A differential equation is given by, dydt=ay+by2 for a&gt;0, b&gt;0, y0&gt;0. The objective is to…

Q: dy If y = ln(2a² – 3y²), then | dx 1 A 2x2 –3y2 4x В 2x2 – 3y? 4x-6y 2x2 – 3y? - 4x D 2x2 – 3y²+6y…

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Q: 26. Evaluate (x³ + y² + z)dx dydz.

A:

Q: 2. (8x³cscx++y+ 2y²sin²x)dx+ (x+2xy – ysin2x) dy=0

A:

Q: Find dx2 d²y if x = 3cos4t and y = 6sin4t. %D

A: Eliminate the variable t and form a equation in x and y only than take two times derivative.

Q: Find * dy ,If y 3 dx + x O x^2 + x O x^3 + x^2 +1 O x^2 + x + 1 O 3x^2 + 2x + 1

A:

Q: dy If y = ( a² +1) (x³ + 3) dx %3D O 5x^4 + 3x^2+ 6x 6x^3 O 2x + 3x^2 O 2x^2 +2x+ 3x^5+9x^2…

A: Question 1,Given,            y=x2+1x3+3To find: dydx

Q: y² + 5 dy J y²Cy² + 25)

A: Given problem:-

Q: dy If y = e7z+16 then- dx O 112e7z+16 O 8e7z+16 O 6e7z+16 O 7e7z+16 O 16e7z+16

A:

Q: dz If x4 – y4 + z - 3z = 2, then %3D %D dx a) 4x3-4y3 3-4z3 b) 4x3 3-4z3 c) None of these d) 4x3+4z3…

A:

Q: d²y dy + 3x+y = 4sin (In(x)) dx²

A: Given Euler differential equation is: x2y''+3xy'+y=4sin(ln(x)) Let us take x=ez Replace:…

Q: If y = e3x+18 then dx O 4e3x+18 O 3e3x+18 O 54e3x+18 O 18e3¤+18 O 2e3x+18

A: Given that: y = e3x+18

Q: dy Find if dx 6x2 + 6y 19 %3D 6x + 3y2

A:

Q: ſx = s² – t² . z = 2x – 5y, ly =s•t³ · t3

A: We find complex function

Q: + d²z Oy2 = 0;

A:

Q: Find dw. If w=2x3 +3x2 y-6y² 3 dw=(x2+6xy) dx+(3x2 -y) dy Ob dw= (6x2 +6xy) dx+ (3x2 – 12y) dy

A: This question is taken from the partial differentiation in which we have to total derivative of the…

Q: dy If dt = -10e-t/2 and y(0) = 20, what is the value of y(6)? %3D 20e 6 20e 3 20e -2 10e -3 Se3

A: We are given the differential equation dydt=-10e-t/2 and y(0)=20. First, we will be solving the…

Q: 15. If y3 – xy = 5 ,1 d²y then dx2

A: y3-xy=5

Q: dv 9. S- V3v-2a 10. S(5 – 3y)*dy

A:

Q: dy If y = In V4x² + 5x_then dx

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Q: - If y = u – 4u and u = = 3x + r, then dy с. dr 1 dy а. dx 12x3 + 1 12x3 + 1 3u? 4 dy (3u² – 4)(12r³…

A:

Q: 3 If y=/x²5x²_36 x²_3x²+¥x-12 | shuw that dy dx4 24

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Q: dy If ay = -x+4x -3 and y= 2 when x = 0 then y is equal to dx A y =-1+8x y=--2 B ²+2x- 3x +2 4 y =…

A: Solve the above questions.

Q: dy = If y= csc-1(4x2), x>0, then dx Select one: 2 O a. V16x2 – 1 -2x O b. V1-16x -2 xV 16x4 – 1 -2x…

A: Given: y=csc−1(4x2)

Q: dy 3. 9-49y²

A: To find out the integration.

Q: />(4y++ +9) * dy 12y2-

A:

Q: d. (2xy*e» + 2xy³ + y)dx + (x²y*e» – x²y² – 3x)dy = 0

A:

Q: d²y dy 2. +4 + 4y = 0, when x = 0, y = 1, y' = -1 dx² dx

A:

Q: 1. (D* + D' – 7D® + D° + 22D* – 22D³ – 20D² + 40D – 16) y = 0

A:

Q: dy if y = In dæ 3x + 2 \ 1/4 22. Find x2 – 5

A:

Q: dy Find dx for y = In (8x³ -x?). dy 24x - 2 O A. dx 8x - x dy 24x - 2 O B. dx 8x -x dy 24x - 2 O C.…

A:

Q: (D4 + 10D3 – 7D² – 76D – 60)y = 0 - -3x A. y = ce-2x + c2e¬3* + c3e2x + c3e¬5x B. y = ce=* + C2e¬4*…

A: Given differential equation,D4+10D3-7D2-76D-60y=0

Q: d°y d³ d’y -4- + 5у %3D е* — соs 2. - cos dx dx in D-notation is ( D3 - 4XD³ + 5D y= e* - cos 2x B)…

A:

Q: y = 14. If u +4 u-4 and U= √x + x 10 dy , find dx when x=4.

A: This question can be solved using the concept of derivatives.