4y" + 36 = csc 3x y- C, cos 3x + G, sin 3x +; (sin x - cos x) – 4x e y = C, cos 3x + Cz sin 3x - x cos X O sdfs';dlf O sd'slglgt y = C, cos 3x + C, sin 3x +e* +o* y = C, cos 3x + C2 sin 3x + e* - sd;lfsdg O sd'f,;sdg.g

Q: -5 sinx dx I = =? ecosx +3e-cosx ) +c COSX a) arctan 3 cosx b) arctan + C

A: To find ∫-5sinxecosx+3e-cosxdx

Q: What is the particular solution of the function 3e" sin 5x – cos 5x? A cos 5æ + Bsin 5x + C'e" cos…

A:

Q: Z₁ cos# = 2 V₁ 1 V +(x-2- sin e Z₁ cos Z₁ X + V₂ V₂ cos 9) +1/+ Z₁ 1 V. cose V 2 -sin 0 +

A:

Q: 3) v = C,e2x cos 3x + Ce sin 3x 2x

A:

Q: D2-2D- 3)y = 2sin x; y a. y = C,e™* + Cze* - cosx -sinx %3D COSX b. y = C;e¯* + Cze³* + =cosx – sinx…

A:

Q: z cos(2x)) - cos(2x))+

A: here using sin2x = 2sinxcosx                 cos2x = 2cos^(2) x -1

Q: 1-Sin 2x Sin Ge)-Ces c -Sinc- Cosk 1- Sin 2x - Sinx+ Cosc Sinx-Casx -Sin x +CUIX - Sin le)(-Sine +…

A:

Q: 8- Evaluate a) ſe² + 4 sin(8z) dz 1+9cos(8z) бх- х2 b) J 73-9x²+8 esc²) dx Csc2 - х3-9х2+8

A: We have to use proper substitutions.

Q: cOs x dx |(sin? z + 4)%/2 1 sin x sin x cos x 1 cos x +c +c 16 vsin ²x + 4 48(Vsin ²x + 4 16 Vsin 4x…

A:

Q: 3x * y^4 = 5x * sin x + 4y ^ 3 * cos x + 5y * sin x

A: Given equation is: 3xy4=5x sin x+4y3 cos x+5y sin x

Q: cos2x a) -.dx,b) xe*. dy Į sin2x. [In(sin2x)]² + sin2x 0.

A:

Q: Flnd * |(sin 5x cos 3x + cos 5x sin 3x) dx cos 8x cos 3x + 3 cos5x – + c 8 + c Option 3 Option 2 cos…

A:

Q: Differentiate: y = cos(5 e* ) e11 COS

A: Ans is. option a)

Q: ſe^(3-z) sin(2+z) dz *

A:

Q: sinx sinx +x The integral cosx - e +e -dr may be written as mensinx + pr+ gerx + C, where m, n, p,…

A:

Q: معادله دیفرانسيل جواب عمومی Scul plas (2xy sin²x)y' + x³ + xy² sin 2x + y²sin²x = 0 y? cos 2x + 4 .a…

A:

Q: If x= cos n + cos 2n and y=sin n + sin 2n show that  2xy= sin 2n+2sin 3n+sin 4n

A: See the attachment

Q: Choose true or false of the following 1- S, x? = 1 2 %3D 3 2- J sin x dx = 2 3- Se* X² dx = xeX + c…

A:

Q: (1+iV3)" + (1– iV3)" = пл 2n+' Cos(- 3 2" Sin(- 3 (1 – (iV3))2n 2" Cos(- 3 00 2n+ Sin( 3

A:

Q: S(sin 29x + 6e0 +5 cos 5x+)dx

A: Given integration ∫sin29x-x5+6e6x+5cos5x+x5dx  Now we break it and we get   ∫sin29xdx-…

Q: I/2 52) 5), 5/2 6] Sin23xdx Cos'xdx

A: As we know that; The trigonometric identities; 1). sin2x=1-cos2x22). cos2x=2cos2x-1   5). Given:…

Q: If 1, = |x" sin8x dx , Then 64 I,+n(n-1) I,-2 Select one: O- 8x" cos8x +n x" 7 sin8x O + 8x" cos8x…

A: Given :  In=∫xnsin8xdx                1 Using Integration by parts…

Q: 1. dy = %3D COSX cotytanx Cosy dr

A: Given- dy=1cotytanx-cosxcosydx To solve the given differential equation. Here we will arrange the…

Q: Find Lt+1)²-e' sin² t + cos(t+1 ++ π)}.

A: Given :

Q: 2. Show that cot x cos* x +C 4 cscx csc x | cot? x csc*x dx = - 6. 4 6.

A: