•9x² d t dt dx Jo t+ 90 II

Q: 6 d'y y = -9x-4 find dx? x6

A: We use formula of differentiation .

Q: •Cx²+Jy'tuxy X y(2)21 use Rennoull EQ.

A:

Q: (D³ – 4D²D'+ 5DD² – 2D ) z = e'*2* + Vy +x.

A:

Q: 10. J xe5x dx A. (5x-1) O A O B B. (5x-1)+c C. 5x + 1 D. 5x-c

A: To find out the integration.

Q: dx J 2.x² – 3x +9 Зх + 9

A:

Q: d³y --13 + 6y = 0 4 dx3 dx

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Q: Sdlve the 2 2 s) d J 6) x y + (36x²- Y¼

A: As per the requirement question 5 and 6 is solved as follows Given; x2y"+xy'+(9x2-4)y=0…

Q: xe5x dx (5x-1) i 51 e³z B.5 (5x-1)+c C. 5x+ E

A: We will solve the problem.

Q: y" dn + = C (3xy ty -)dy 2

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: dx b) e2" – e5r dr + Vx (1+ х) e3r

A:

Q: dy + (1x – 7)y = 2x7 dx

A:

Q: d(x) = 5x(t 2d(t) %3D

A: Sol

Q: b) S(2cosx – V) dx

A:

Q: 2t – 3t2 | (c) h(t) %3D a = 1 1 + t³

A:

Q: d²y = 5x? + 1 dx2

A: First we integrate both sides with respect to x and solve it. Follow 2nd step.

Q: . (r+ 4y – 8)dx – (2r + 8y + 6)dy = 0 Answer": 36(y – 2) + 22ln(-3x – 12y + 13) = ( %3D う 」フ ょうん。

A:

Q: r4 2V dx Vx 15. 1

A: The integral is given by,

Q: 2. xdy – ydx – Vx² + y² dx = 0²

A:

Q: Q.2 JJR ex2-2 dxdy, where R between x2 =-y, y = 0 and x = -3 , y = -9

A:

Q: Q7 Find dy using substitution: dx y = csc-(x3 + 1)

A: Put u=x3+1. Then, du=3x2dx Therefore, the expression y=cosec-1(x3+1) becomes,…

Q: f(x)=10/17sqrt(6x^2+2x+6)= 10(6x^2+2x+6)^1/17, then df/dx =

A: f(x)=106x2+2x+6117

Q: dy (2a³ – 3x²y + y³) 23 – 6x²y + 3ry? dx %3D

A: This question is based on solution of homogeneous differential equation.

Q: d²y — 6+ 13у %3D0 dx2 dx

A:

Q: dy If x³+y³ = 1, what is -? dx² D OC O 22(23 ys 2x(2 − y) y³ 2x y5

A:

Q: dM/dt=4M, M=25000 when t=2   dT/dx=-3.2T-1328, T=-212 when x=2

A:

Q: Calculate L{uz(t) (t² – 7t − 2)}

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Q: d?y Calculate dx2 y = 4x0.8 – 7x d?y dx2

A: Given : y = 4x0.8-7x

Q: j dx (2x-3) 15-12x+cx 2

A:

Q: dx J x3 – 2x² + 9 – 18

A: Given problem:-

Q: dy 9. x2-y = Jx2 – y². – y?.

A: Given:xdydx-y=x2-y2

Q: + 12D + 36)y = 0 5. (D³ + 3D² + 3D + 6 (D3 AD3

A:

Q: d'y Calculate dx2 y = x2

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Q: b. fx'e*** dx 2sinx C. 3+cosx c. S; S5x* dx a. dx 7x2

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Q: d’y d²y D. = 3e* +4x2 dx dx2

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

Q: 1. (D2 – 2D + 5)y = 0

A:

Q: d'y 11. +2y = 4cos² x dx

A: Given:        d2ydx2+3dydx+2y=4cos2x

Q: d?y Calculate dx2 y = -4x2 + 7x d?y dx2

A:

Q: d?y Find dx2 x = t5 - 7, y = t – t2 X = | d²y dx2 II

A: Given; x=t5-7, y=t-t2

Q: (a) E= 1.5x10-12 J, Q = 1.6x10-19, V = ?

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Q: y (t² + 7t + 5) (5t² + 3), tin fir dy

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Q: d²y 10 + 9y = 5t, y(0 dx

A: Laplace solution: d2ydx2-10dydx+9y=5ty(0)=-1, y'(0)=2Taking Laplace on both sides we…

Q: Q.2 R ex2-2 dxdy, where R between x = -y, y = 0 and x = -! -3, y = -9

A:

Q: d'y Calculate dx2 y = -5x2 + 7x %3D d?y dx2 %3D

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: d'y (3x* – 5)(2.x² +9x–6) Determine the of y = 3 dx 7x

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Q: 2x+9 Find ', if y dx x2 – 5x+1

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Q: Find d2y/dx2 for y = tln(t) + 9t, x = tet + 1.

A: Given,        y=tlnt+9t  and  x=tet+1

Q: L(T³) = %3D 6 .b O s4 3 s3 4dO

A: We know that : L(tn)=n!sn+1

Q: Q6. Evaluate S¹, S₂ Sp dz dx dy.

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Q: q4t dt a2t +3at+

A:

Q: 1. (D² + 4D + 5)y = 50x + 13 e3x

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.