What is the solution of the DE tan? x csc³ y dx = dy? cos³y A. tan x – x = cos y + + c 3 cos³y B. tan x = - cos y + 3 2. cos³y C. x= - cos y + + c 3 cos³y D. tan x – x = – cos y + 3 cos Answer: What is the order of y"' + y" + y' + y = 0

Q: Let y(x) be the solution for the DE. y+y tan(x) + sin(x) =0 If y(0) = In 2, then at x = the value of…

A:

Q: What is y' of y = sin¹ (cos x)? O A. y' = ATHE sin + 1-cos² 1 O B. y' = 1 OC. y'= sin z 1-cos² z OD.…

A:

Q: Find the general solution of 2ey cos 2x dx + (ey sin 2x + 3y sec2 y2)dy = 0. a. e sin 2x +y tan y? =…

A: This question is related to differetial equations, We will solve it using given information.

Q: What is the solution to y" – 2y' + 5y = 0, y(0) = 1, y' (0) = 0? O y (z) = že² (cos(2x) – sin(2r)) O…

A:

Q: What is general solution of the given ODE. * dy = cos² (x − y + 1) dx cot (x-y+1) + x + 1 = C Option…

A:

Q: The general solution of the DE y"+ y = x is def ined by (y= C¸ cos(x ) + C¸ sin (x) +x 2 (y=C¸ cos…

A:

Q: The general solution of (D²+2D +1)(D²+4)y=0 is O y=(C,+C,x)e +C,cos2x + C sin2x A ® y=(c,+Cx)e*+C,e°…

A:

Q: Solve the D. E. to the I. V. P. sinx(e- + 1)x' – cosx = 1, y(-) = 0 (1 + e") (1 – cos x) = 2 O (1 +…

A:

Q: ди k > 0 at Ans. u = e'(A,eka! cosh ax + Bjekai sinh œx) u = e¯'(A2e' u = e"(Azx + B3) k ¯kai 'cos…

A: The given problem is to find the solution for the given partial differential equation in different…

Q: Find the general solution of sin x cos^2 ydx+cos^2xdy = 0  a. secx + tan y=C b. cos x cos^2 y + y…

A:

Q: What is the general solution to y² tan(x) dy = sin(x) dx o y = √3 sin(x) + C o y = -√√3 cos(x) + C o…

A: Here we have to solve the differential equation.

Q: Which of the following is the solution of [2x + ycos(xy)]dx +xcos(xy)dy =0 a. x? +cos(xy)=c b. x? -…

A: Given differential equation [2x+ycos(xy)]dx+xcos(xy)dy=0. The objective is to find the solution of…

Q: Let y(x) be the solution for the DE. y +y tan(x) + sin(x) = 0 If y(0) = In 2, then at x = %3D - 4…

A: We have to solve given problem:

Q: If u = x² tan equal to (a) (c) x - y x + y - 2 + V² 2 X X -, y x + y x - y x² + y² 2 X - y - y² tan…

A:

Q: y" +y = sec? x %3D y = C, cos x + C2 sin x- cos x In(sec x + tan x) a. y = C, cos x + C2 sin x + cos…

A:

Q: 1. If we are trying to evaluate thef esinx cos x dx, which substitution would be most helpful? А. и…

A: Select the correct option?

Q: Consider the D.E. y(ª) + 4y" = 1 – cos(2x). Then a suitable form of the particular solution can be…

A: let the non homogeneous differential equation is of the form  y '' + p (t) y' + q (t) y = g (t)…

Q: Consider y@) + y" = 1+ cos( - t) Then a suit- able form of the particular solution can be written as…

A:

Q: Use integration by parts to evaluate 2x cos (x) dx (A А -x?cos (x) +c B - 2x cos (x) + 2sin (x) +c…

A:

Q: The cos'ydy is equal to 3 A. siny + sin?y +sin³y - sin'y+ C sin'y + C 3 1 B. siny – sin³y + siny -;…

A:

Q: Solve the D. E. to the I. V. P. sinx(e-y + 1)x' – cosx = 1, y(0) = 0 %3D %3D (1 – e') (1 + cos.x) =…

A: We will find out the required solution.

Q: 3. Why is u = cos x, dv = x dx a poor choice for evaluating | x cos x dx?

A:

Q: The sin(5x + 2x) dx cos5xcos 2x is equal to 2 In(sec 5x) + 5In(sec2x) +C А. 10 In(sec 5x) +…

A:

Q: Given z(x, y) =In(2xy) where x(u,v)= e" cos(4v) and y(u,v)=e" sin(4v). Find ди 1 cos (4r)+-sin(4v)…

A:

Q: What is the general solution of (r +sin 0 cos 0) dr + r (sin 0 + cos 0) de = 0 ? - rsino rcose = C…

A:

Q: Evaluate: 4S d sin(t?)dt dx x 3x²sin(x“) – sin(x²) b. 2x°cos(x°) – 2xcos(x²) a. 3x²cos(x^) – cos(x²)…

A:

Q: Let y(x) be the solution for the DE. y+y tan(x) + sin(x) = 0 If y(0) = In 2, then at x = %3D %3D the…

A:

Q: Match the following guess solutions yp for the method of undetermined coefficients with the…

A:

Q: What is the general solution of sin z sin ydr + cos zcosydy =0 tan z = C sin y + cos r + C sin z = C…

A:

Q: Give the general solution to dy 4x sec (2) +y dx a) sec + 4 In(x) = C 4 b) O sin) - = () - 4 In(x) =…

A:

Q: 2 tan 4x dx The is equal to 1- tan 24x A. In(sec 8x) + C B. In(sec 8x)8 + C 1 C. In(sec 8x) + C D.…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: sin(iny)dy is equal to * y (A none of these cos(ny) + C y cos(Iny) + C (D) -cos(iny) + с cos((ny) +…

A:

Q: 13. Find the general solution = sin x + y cotx. a. y = (x + c)(secx + tan x) b. y = (x + c) sin x C.…

A:

Q: Determine c, and c2 so that y(x) = c, sin 2x + c2 cos 2x + 1 will satisfy the conditions y () = 0…

A: Consider the function: yx=c1sin 2x+c2cos 2x+1. Calculate c1 and c2. Given yπ8=0 and y'π8=2.   Since…

Q: Let y(x) be the solution for the DE y+ytan(x) + sin(x) 0 If y(0) = In 2, then at x= the value of y…

A:

Q: What are the values of and cz so that y(x) = cq sin(x) + c,cos(x) will satisfy the conditions y(0)…

A: Given y (x) = c1 cos(x) + c2 sin(x)and y(0) = 1,   y'(π) = 1

Q: What is the general solution of (D² +1)y = 0 ? y = C1e cos a + C2e sin æ %3D Oy = C1e" cos a + C2e"…

A: Here the auxiliary equation is m2+1=0 => m= i, -i

Q: What is the general solution of sin x sin ydx + cos xcosydy = 0 O tan x = O sin x O sin y + cos x +…

A: To solve the given differential equation.

Q: Find the solution. (y - cos?x)dx + cos x dy = 0 (A x (cos x + cot x) = cy + y - cos y (B y (sec x +…

A:

Q: Which is equivalent to ſ sin y cos(/2) dy? C/2) dy? a.) S [sin("/2) – sin ("/2)] • dy b.) S sin("/2)…

A: The given integral is: I=∫sinycosy2dy As according to trigonometric formula:…

Q: When J x°cos (x-)dx is evaluated using IBP, the value of J v du is? A - cos (x2) B none of the…

A:

Q: dy when (cos x) = (sin y)* dx A Find %3D

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

Q: What is the general solution of sin 0-2rcos²0) dr + rcos0 (2rsind + 1) de = 0 ? %3D O sin 0 rcos²0…

A: Given differential equation is: sinθ−2rcos2θdr+rcosθ2rsinθ+1dθ=0

Q: What is the general solution of (x + y) da + tan xdy =0 ? %3D O zsinx + cos a + ysina O zsinx + cos…

A:

Q: 2 tan-1(y). x In(xyz), q ƏV when x = y = % = 1. ду Let V = eP cos(qr), with p = z cos(TY) and r = By…

A:

Q: What is the general solution of (r + sin 0 cos 8) dr + r (sin 0 + cos 0) d0 = 0 ? %3D rsind rcose =…

A:

Q: What is the general solution of sin a sin yda + cos zcosydy O sin y + cos z + C O tan = C O sin z =…

A: Here we need to find out the general solution of the given differential equation. The above…

Q: Solve the equation xdx + sec(x)sin(y)dy = 0 cos(y) = -xsin(x) + cos(x) + C -cos(y) = xsin(x) -…

A:

Q: Solve tan? x csc° ydx = dy. tan x = - cos y + [(cos³ y/3] + c O tan x - x = - cos y + [(cos³ y/3] +…

A: We will find out the required solution.

Q: 1. y = x - x'cosx + 2xsinx + 2cosx 2sim x-1 2. y= cosx+2 3. tan(xy) + xy = 0 4. y= x 5. y = xArctanx…

A: The given function is y=xcosx. We know that duvdx=udvdx+vdudx.