Solve the DE sinx siny dx + cosx cosy dy = 0 by separation of variables. cos y A sin x B sinx cosy = C sin y =C cos X D cosx siny = C

Q: Find the solution to the Bernoulli Equation. (3siny - 5x)dx + 2x²cotydy=D0 O x³(siny- x)2 = Csin?y O…

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Q: Solve the DE * 1-y² dx= (9+x*) dy=0 In (9+x*) – 4x² sin -1 y=C (B In (9+x*) – 4 sinly=C © tan…

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Q: j) S(sin³x cos x)dx

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Q: Solve the given DE: dy ex – 2x cos y ey – x² sin y' - dx

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Q: cos 2x dx (b) 4 cos t dt 0 2

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: -. Solve for dy/dx a. y = *+ sinx cos x † Sin X

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Q: Obtain the general solution using separation of variables x cos² y dx + tan y dy= 0

A: Given differential equation is: x cos2y dx+tany dy=0 Apply variable separable: tanycos2ydy=-xdx…

Q: 7. (a) Find dy/dx, when x a(1 + cos 0), y = a (e + sin 0). (b) Differentiate xCOsx w. r. t. (cosx)*.

A: Proceed as shown below...

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A: we have to integrate both side , we get

Q: Find the general solution of cos x dy + (y sin x – 1) dx = 0

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Q: SOLVE THE FIRST ORDER DE. dy – yln(yecosx)dx = y sinx dx

A: dy-yln(yecosx)dx=ysinxdx

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Q: The general solution of the D.E. dy/dx + y cotx = 1 is a. y -cotx + c sin x b. y = -tanx + C CSC X…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Solve the DE sinx siny dx + cosx cosy dy - O by separation of variables. A sinx cosy - C sin y B cos…

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Q: du = 3 and dx dy = cos u, find the du dy Given y = sin(3x – 2). If dx 3 cos(2x) 3 cos(3x) 3 cos(3x –…

A: Topic:- derivatives

Q: Find dy/dx. Y = cos (cos x). A sin(cos x) sinx sin x cos x sin x B.

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Q: Solve the DE sinx siny dx + cosx cosy dy = 0 by separation of variables. A cosx siny = c B sinx cosy…

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Q: Solve the DE sinx siny dx + cosx cosy dy = 0 by separation of variables. A sinx cosy = C sin y B cos…

A: Given that      sinx siny dx + cosx cosy dy = 0 Here we have to solve the given differential…

Q: Solve the DE sinx siny dx + cosx cosy dy = 0 by separation of variables. (A) cos y sin x =C sin y B…

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Q: dy Find dx if cos(x)cos(y) = sin(x)sin(y) + 3x + 3y – 2. O 1 O -2

A: Given:       cosxcosy=sinxsiny+3x+3y-2       cosxcosy-sinxsiny=3x+3y-2 We know that…

Q: Differentiate y = sin (e) 3x O a. 3e3 cos e3 e3x O b. es cos e c. 3e2 cos e2a Od. O d. 3e" cos e

A: Recall:  Chain Rule of differentiation :        If f and g are both differentiable , then…

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Q: Find dy/dx of y sin -1). A 3. B 1-9r2 D

A: Y= sin-1(1/x)  and we have to find dy/dx

Q: dy Solve x cosy = 2x. (siny) – 1 dx O a. y = arcsin(- + cx²) O b. y = arcsin(; + cæ²) O c. y =…

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Q: Find the general solution for (cosx)y' = 1 – y² consider y, (x) = sinx. %3D

A: Given:  cosxy'=1-y2                  1          , y1x=sinx Let y=y1+u be a solution of (1)…

Q: .2 x cos?y dx + tan y dy = 0

A: The given differential equation is  x cos2y dx+tan y dy=0 Solving the the given differential…

Q: Solve the DE Ssinx siny dx + cosx cosy dy = 0 by separation of variables. sin y A cos X B sinx cosy…

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Q: d2y/dx2 +4y=sin3x+cos2x

A: Given that:

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Q: d. t sin 2 dt COS dx 3

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A: We have to solve the given differential equation.

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Q: Solve the ODE: (7e sin y – - 49y sin(7x))dx + (e“ cos y + 14y cos(7x))dy = 0

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Q: 12) dy dx - = x cos (6x²), y(0) = 7 A) y == sin (u) B) y = sin(6x2) + 12 C) y = sin (6x²) + D) y -…

A: In the question we have to solve the differential equation. Bartleby's guidelines: Please post…

Q: Find the general solution of (cos cos y +ycos x ) dx + (sin sin x – x sin sin y ) dy = 0

A: The given differential equation is incorrect and hence the correct differential equation is as…

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A: I have stated the used formulas in the solution.

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Q: Find dy/dx: (a). y = cos 8x + sin r2, (b). y = Vcos 8x + sin x². %3D

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Q: a. cos x dy + y(sin x - 1) dx = 0; when x = 7, y = -2

A: According to our guideline we are supposed to to do only the first question if you want any…

Q: Determine whether y : y = x2 + 2 d²y sin x + x² is a solution to the DE dx2 %3D

A: We have to check whether  y = sin x + x2 is a solution to the DE  d2ydx2 + y = x2 + 2.

Q: Find the general solution of the equation cos x cos y dy – sin x sin y dx = 0

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Q: Solve the DE sinx siny dx + cosx cosy dy O by separation of variables. cs y = C sin x A В sinx cosy…

A: Solution

Q: Find the general solution to: dy d dx dy 1 dy Cos x + sin 2x dx x + 4 dx

A: d). Given differential equation is dydx=cosx+sin2x. Re-writing the given differential equation.…

Q: 33. x= y 1 sin x dy dx = 1 – cos 1 0.460 %3D 0,

A: Given ∫01∫0xsinxxdydx=1-cos1=0.460We need to proove the above integral value.

Q: Find dy dx 12) y = cos ³ (5x+2) -2)) y = √tan √√₂x + + 3)) Por The following Function i y = sin-¹…

A: **As per our guidelines, we are supposed to answer only 3 subparts of a question. Since you have…

Q: dw Find dx where w = cosz- cos 4x cos'4y + sin 4x sin 4y and z= 4x+ 4y. dw 口

A: lfirst put value of z and then expand cos term Now we get Zero whose derivative is zero

Q: Evaluate the dy/dx> d) y=e-x((cos(2x)) a) -e-x(cos2x+2sin2x) b) e-x(sin2x-cos2x) c)…

A: y=e-xcos(2x)differentiate…