18. What is the general solution of* (Dª + 5D² + 4)y = 0 y- Ccora + Cvine + Ce"cos2r + Ce" ain2r = Cycosz + Czsinx + Czeos2z + Cisin2a O Option 1 Option 2 y- Ce'easz + Cesine + Cye"cos2e + Cesin2z y= Ce "coe + Cye sina + Ce "corde + Ce " sinta

Q: The general solution of y" + 16y = cost is: Select one: a. y = C,cos(4t) + C2sin(4t) + cost 15 O b.…

A: A detailed solution is given below.

Q: #+ )= 2 c(-)-2 sin (- 2 cos (#)-2 sin() 2 cas ()+32 sin () # + )F 2 ccs (2 sin () 27 (0) 27T +j2…

A:

Q: find in Euler's way 2x ! y(0.1) de y(0)=1 , h=0.05 y' = y -- y

A: The general form for Euler's method is given by yn=yn-1+hfxn-1,yn-1.

Q: (9) Use Euler's method to estimate y(8) to estimate the solution to y' = y – 2x, y (0) = 1 Use n = 4…

A:

Q: The general solution of y" + 16y= cost is: Select one: a. y = C₁cos(4t) + C₂sin(4t)--1/17tcost…

A: We have to choose the correct answer from the given condition according to the given condition

Q: Need help with explanation

A: 6) Solve the following:

Q: 2. Show that u(x, t) = cos(x – ct) is a solution of Ut + cuz = (0

A:

Q: Use the method of undetermined coefficients to solve the initial value problem. 33 y ==cos2t 10 33…

A:

Q: Give the general solution to у" — 4 у'+ 20 у 30 а) О у-С, сos(4 х) — С, sin(4 x) b) O y=C, e**+C, e…

A:

Q: Use the method of undetermined coefficients to solve the initial value problem. 41 y ==cos2t 8 y = y…

A:

Q: "(등 -2) + ain (품 + 22) The simplified form of cos 22x) + sin O V3 cos 22x + sin 22x O v2 cos 22x + 2…

A:

Q: (Sın2e + sn28 cas - risino) do r(T/2) (1+ cos e) dr - (sın²@ + sin?@ cose (I+ caso) dr %3D シー1 LINE…

A: In the given solution we have to find which line is wrong.

Q: Solve: y" + 10yiv + 53y" + 124y' + 100y = 0 O y = Ce cos4x + C2e3 sin4x + C3e-2 + C4xe-2 + C5 O y =…

A:

Q: -If u = x2 tan-1 २|४ y = - y² tan-1 x 22u дхду x² что - у² + J²u u ә2u u дхду дудх L ala 2

A:

Q: The particular solution of the following equation by using the method of undetermined coefficients 2…

A: A detailed solution is given below.

Q: 4- Find Y/dz If x²(x- y)? = x² - y? dyla

A: Find the derivative

Q: ー28- Sa Oclumina f dz sabishy cauchy- Reimon quakir f andlgove @ frz= J-2xy ti C-Xyz] +z* @ f(2)=…

A:

Q: Find y' (or ) if In(21y) sin z = zy4 + 8z5 y5-yln(21y) cos z+40z4y sin z+4zy4 y5-yln(21y) cos…

A:

Q: 1 Suppose y = tan ¹æ. Then x = y tan Otan y Oarctan y

A:

Q: The standard form of 3dy-xydx = 3y3e4x/3  by Bernoulli's equation is:

A:

Q: 28. sen jz dz = 2 sen jz įdz = -2 cos tz + C cos 3z • 3 dz = sen 3z + C 29. cos 3z dz = 30. S sen…

A:

Q: 2) Eliminate the arbitrary enstant, 4 y= x*+ Cix + Cz e-X

A: Given problem:- Eliminate the arbitrary constants. of y= x² + C₁x + C₂ e-x

Q: Suppose we want to show a classmate the basics of how to integrate with the u-substitution…

A:

Q: 27) tantt Cost =Gect 30) - #sint Cost Hant t sect 33) secx cscx = sečx+ cst^X. 36) cs COSX shx…

A:

Q: What is the particular solution of the function 2xe3 sin 7x – 8x?? O Aa? + Bx + C + Exe3, cos 7x +…

A: NOTE: Refresh your page if you can't see any equations. . . the second function is  which is a…

Q: The general solution of y"+ 16y=cost is: Select one: a. y = C,cos(4t)+ C,sin(4t) + 1 cost 15 b. y=…

A: Here I am attaching image so that you understand each and every step.

Q: 2 L- e3s [(s + 2)4 + 13(s + 2)2 + 36] 3e-3* u(t – 2) ( antzn sin(2t) sin(3t) 3 sin(2t-6) 2e-2' u(t –…

A:

Q: 3s – 14 - s2 – 4s + 8 - 3e2t cos 2t + 4e" sin2t 3et cos 2t – 4eª sin2t Option 1 Option 2 4e" cos 2t…

A: Given: Fs=3s-14s2-4s+8   As we know that; The inverse Laplace transform identity. 1).…

Q: + 9y = 9 sin 3x (Let y p = Ax sin 3x + Bx cos 3x.) y = C1 sin 3x + C 2 cos 3x - x sin 3x + cos 3x y…

A:

Q: Use the method of undetermined coefficients to solve the initial value problem. O y y = y = y = 33…

A:

Q: 2. Integrate: S w5 V7+ w3 dw 3. Find S (6-+ - sV) de

A:

Q: Find y' where y = 8 cos-1 (sin (19 z)) – cot-1 (14 z) Answer: 14 y' = -152 1+196 z2 -152 cos(19 z) +…

A: This question belongs to derivative of inverse trigonometric function.

Q: Stan 2x+ cos 2x)° dx tan 2x 2 V(sec 2x+ tan 2x)³ sin 2x +C sin 2x 3 cos 4x sec 2x 2 o tan 2x sin 2x…

A:

Q: S sin x coszxdx = cosix + c cosix + O Option 2 O Option 3 -cosix + e -cosix + c O Option 4 O Option…

A:

Q: Find az/ax if - z = x² sin(xy³) O x³y4 cos (yx³) + 4y³ sin(x³) O x³y³ cos (xy³) + 4x³ sin(xy³) x4y³…

A: Find the derivative

Q: Ti Ti to 8 Integrate cosh(4z) dz, C any path from - 8 Use the first method, if it applies, or use…

A: Using:- sinhx = -isin(ix)               Sin(-x)=-sinx               Sin (pi/2)=1

Q: What is the general solution of (Dº + 20D4 + 100D²) y = 0 y = C1 + C2a + (C3 + C5a) cos V10x + (C4 +…

A: The given DE is: (D6+20D4+100D2)y=0...(1) which is a linear homogenous differential equation.

Q: Suppose that the position of one particle at time t is given by X1 = 5 sin(t), Y1 = 2 cos(t), osts…

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Q: 1 Evaluate | (x²sin y- xcos(y))dy O 2sin y-3cosy + C 6 -3sin y+2cosy +C 6 x2(1- cos(1)) – xsin(1) +…

A:

Q: Z {sin(3t + 2)} O (5 sin (3) + 2cos (3))/ (s^2 + 4) O (s sin (3) + 2cos (3))/ (s^2 + 4) (s sin (2) +…

A:

Q: 4 2 cos y + sen²y cos² y - senty 3 cos² y 1

A:

Q: 7. y" -y' = 2sin 2x

A:

Q: What is the general solution of (Dº + 16Dª + 64D²) y = 0 %3D O y = C1 + (C2 + C4r) cos 2/2x + (C3 +…

A:

Q: Find y' if y= In coshv tanh v. y =sech v-2tanh v O None of the above O Option 4 y=tanh'y y'=tanhv –…

A:

Q: 26 csc (2x) cot(2x) dx (Use Substitution Method) 26 26 + C 4 sin (2x) 4 2 26 26 + C 4 sin? (2æ) 4 26…

A: Integration.

Q: The general solution of y"+ 16y3cost is: Select one: а. y = C, cos(4t) + C, sin(4t) + tcost 15 b. y…

A:

Q: What is y' if y=x³sin (x²)? a. y'=2r°cos (x²) + 3x²sin (x²) b. y'=2r*cos (x²) + 3x³sin (x²) c.…

A: Solve for the derivative

Q: Find the general solution of y''+ y =1/cos x

A:

Q: 5. [(6+3z)cos(1+4z)dz 6. [2y° cos (9y)dy

A:

Q: The general solution of y" + 16y = cost is: Select one: а. v = C,cos(4t) + C,sin(4t) + 1 -cost 15 b.…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.