5e+4x -5 sin z)dr O5e +z-5cos z +c O 5e + 2-5sin r+ c O 5e +a* +5 sin a +e O5e +x*+5 cos z +e O5e-r+5 cos a + c

Q: Upr + 3uyy = cos(x + y)u is = CO second order, non linear, non O homogeneous fırst order, linear,…

A:

Q: 4)Listen dy Find as if x2 cos4 r. 1) 2xcostx + 4x cosxsinx 2) 2xcosx- 4x2cos?xsinx () 3)…

A: To find the dy/dx of the given function

Q: |(3e + 5z* +5 cos z)dz: O e - 5 + cosz+c O 3e? +5 +5 cos z + c O 3e + +5 sin z +c O 3e? + - 5 sin z…

A: Topic- integration

Q: b) Find the inverse ztransform of the following: i z's zl2|sin 3 2(2/2/cos 3)z+|2/F] zz(z*+4z+1) 1…

A: We will use the basic knowledge of the theory of z-transforms to answer all the three subparts of…

Q: x³y' +3x?y" +xy' +8y=xInx Select one: a. YG.S +x(c2sin3lnx+c3cos3Inx)+x ( Inx -) - Inx: b.…

A: Given equation is  x3y'''+3x2y''+xy'+8y=xlnx            (i) Let x=et. Then…

Q: Find the quotient 21 22 21 - O 21 (cos 200° + i sin 200°) and 22 21 - 22 O O = 3 (cos 80° + i sin…

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: you - yu +ay!~gy=0; ye C, sin3>c + Cz COS 3x+4 14

A: Given that  The differential equation  To find the general solution

Q: sin 0 If 1+cos 0 x2 x2, then tan 2 - a) b) 4 c) x2 + 1 d) x2 |3| 2.

A: Given,  sin θ1+cos θ=x2 To determine tanθ2

Q: 0/ifit was FCかy)2165(6w)30 2 -36 y? cos (6XY) .3 =36 Y'cos (6X4) -36 y'cos (6xY) 2. = 36 y'cos (6XY)

A:

Q: Question 11 Give the form of a particular solution of a) Oz-Are +Be+Cx com(3x) +Dxsm(3x)+8 b)…

A: Note : according to our guidline i can solve only first

Q: Evaluate ſe* 2x cos 2x dx cos 2x a) 2esin 2x + C b) -+c 2 c) ecos2x +c sin 2x e d) – +c

A:

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: valuate the integral using U-substitution x dx (7x2+3)5 1) S A)-(7x²+3)-6+ C C)-(7x² + 3)-4+ C…

A:

Q: uesuon o of 8 Determine the general solution (du/dt)3-(du/ dt) "2-2u = Select the correct response…

A:

Q: tan °(ln z) sec® (In z) Evaluate dz.

A: Evaluate: ∫tan3lnxsec6lnxxdx

Q: be +50 + 10 cos z)dr= %3D

A:

Q: 3e" + 3x + 10 cos x + 2)dx .2

A:

Q: Evaluate L{e" cos 41} s+ 4 d) s2 + 8s - 32 4 4 s-4 a) s2 + 8s - 32 b) s2 - 8s + 32 c) s2 - 8s + 32 a…

A:

Q: (5е? + 9* — 8 sin x)dx - 8 sin æ) de O 5e* + x° – 8 cosx + c x° - 8 cos x + c О Бе + x —— 8 sin x +…

A: Solving the problem by doing the integration.

Q: 2) f(3x + cos(x))[3x +2sin(x)-31dx = A) 3x+2sin(x)- 3+C B)13x+ 2sin(x)- 31 +C C) other

A:

Q: 3) ft)= (t+リ sin (t+z)= t sinけtz) + sint +2) Asin(よ)+ - Cole) ds s Sin(2) +1- Gd ニ (8+1) - sind -…

A: We have to find the Laplace transformation of f(t).

Q: əz ax+by+sin(ax +by) show that b əx Q5-A) If z = (ax +by)² +e+by+sin( ax a Əz dy

A: The given problem is to show the following condition for the given multivariate function of z.

Q: (4e® + 4x° + 8 cos x)dx 3 O 4e" + x4 + 8 cos x + c et – x4 + cos x + c et + x4 – 8 sin x + c O 4e" +…

A:

Q: (5e + 4r +4 cos z)dr = O e – r + cos z +c O e +r - 4 sin z +c O 5e + r - 4 sin z +c O 5e* + x +…

A: The given integral is: ∫(5ex+4x3+4cos x)dx

Q: find | cos*x dx 1 1 1 А) — — х —- sin2x + —x + — sin4x + c 4 1 B) =-x +- sin2x + X 4 1 8 1 x + sin4x…

A:

Q: gg Un= 0 1- Cos nn dr 1- Cosit Unt₂ + Un = 20 ot prove that

A:

Q: 8 10 points Given the ODE problem as Viv+2y" +y=2sinx what are the correct type of particular…

A:

Q: |(3e" + 5z" + 6 cos a + 2)dr = 3e" +a* + 6 cos a + 2r + c ez - a + cos a + 2+c 3e* + 25 + 6 sin z +…

A:

Q: Find L{10) } s(s²+16) 1+cos(4t) 16 1-cos(4t) 4. 1-cos(4t) 16 1+sin(4t) 4 1-sin(4t) 16

A:

Q: 1 Find L-1 Ls2 +6s+18]

A: The given function is L-11s2+6s+18. The following formulae are used in solving the given function.…

Q: fze [sin(3x)]-m(x, y, z), where m(x, y, z) = Part C. yz-1 %3D

A:

Q: Step by step

A: We will need integration by parts for this problem. So we assume u and dv then find du and v

Q: sin + 4 4 can be expanded to: sin sin 4 4 cos cos 4 o sin - cos 4 sin 4 sin 4 o cos -sin 4 + cos 4…

A: Solve the following

Q: | (5e" + 5a* + 9cos r+ 2)dr O e* - a5 + cos a + 2 + c O 5e" + a -9 sin a + 2+ c O e +a5 - 9 sin z +…

A: Here we have to evaluate I=∫5ex+5x4+9cosx+2dx