3. [cos y + 1]dy + [tan x (sin y + y)]dx = [sin y cos x + y cos x]*dx gettyimages Fuse When:x = 0; y =; 2

Q: 1 the general solution of (y – cos² z) dr + cos z dy = 0

A:

Q: Solve the exact differential equation (in y -y sin x- без) dx + (— + сos x + 5 sec ytan y - бу)dy…

A:

Q: 2. Solve the following initial value problem. dy = sin(Tx) dx? y/ (1) = y(1) = 0. - -

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Q: Find the particular solutions of the given differential equation dy dz 2 cos a sin a given y = 1…

A: 1. Sin(2A)=2sin(A)cos(A). 2. Sin²A+Cos²A=1.

Q: 1. Solve the initial value problem: dy 2xy): 1 + cos x y(y + sin x), y(0) = 1. dx %3D 1+ y?

A: The given differential equation is  11+y2+cosx-2xydydx=yy+sinx,  y(0)=1

Q: 7. What is M(x,y) for the following differential equation: x(1 – sin y)y' = (cos x – cos y – y)

A:

Q: 4. Solve the following problem over the interval from x 0 to 1 using a step size of 0.25 where y(0)…

A: 4)

Q: 3. Find the general solution of this separable differential equation. dy y cos x dx sin x + 2

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Q: Solve the initial value problem. 14) dy 15 sin 2 x cos x, y(0) = 2 dx %3D

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Q: 2 H√√x dy with initial value problem y(4) 2 cos Y dx = TT 4

A:

Q: Given the differential equation x*dy – tan(y) dx – xsec²ydy + 2xydx = 0 then what is 2y – sec?y 2x(x…

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Q: and the differential equation M (x, y)dx + (sin x cos y – xy - e-)dy = 0 is exact. |

A: It is exact differential problem

Q: Solve the initial value problem. 33) dy - et sin (et – 5), y(ln 5) = 0 dt A) y = sin et - sin 2 C) y…

A: Given initial value problem can be evaluated as shown below by using substitution method

Q: To solve the ordinary differential equation dy +xx dx = sin x, y(0)= 5. 3 by Runge-Kutta 4th order…

A: The form of differential equation to use Runge kutta 4th order method

Q: What differential equation has y = x² cos y- 4x + C as a solution? a. (2x cos y – 4)dy – (1+ x² sin…

A: The solution is given as

Q: Solve the following differential equations with given initial condition  cos y (dy/dx) = 2/x…

A:

Q: Find the general solution of the following differential equations. 3. (cos x cos y – cotx)dx – sin x…

A: compare given DE with Mdx + Ndy = 0  and then solve

Q: sin x sin y dx + cos x cos y dy = 0 %3D

A:

Q: Solve the following Initial value problem:  xcos2 (y)dx + tany dy = 0, y(3) = 5

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Q: Compute the following first-order differential equation i. cos x dx +y = sin x , subject to the IVP…

A: Given first order differential equations Using linear differential equation Form

Q: Show that the particular solution of the differential equation d'y dx? dy -3 +2y = 20 sin2x dx is y…

A: We have to solve

Q: Example 10.10. Using modified Euler's method, find an approximate value of y when x = 0.3, given…

A: We can solve this using given information

Q: Solve the initial valve problem au - y' sin x, y (0) = 3 dx = y° sin x, y (0) = 3

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Q: 1: Find general solution of D.E. dy cosh (x) + sinh(x) y = e* dx

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Q: Which of the following differential equations can be solved by separation of variables? у1+2у)dx -…

A:

Q: What is the general solution to the differential equation dy = dx + 3y tan x ? sin³x y cos³x = sin x…

A: Correction : In right hand side of given differential equation is {dx + 3y tan x dx}

Q: Find the solution to the initial value problem y (z) – 6 ( y (x) ) + 10 y (x) =-2 sin (3 z) + 36 cos…

A:

Q: Solve the initial value problem. ds cos t- sin t, s dt 3 S = sin t + cost+4 Os = sin t- cos t+ 2 s =…

A:

Q: 5. With the substitution cosy == differential equations sin y dy – cosy(1 – x cosy)dx=0 reduced to a…

A: Substitute  cosy=1tNow differentiate it with respect to t,-sinydy=-1t2dtsinydy=1t2dt

Q: Solve the ff. ordinary differential equa d²y dx² 1 dy x dx + y = 1

A: Here we have to solve the differential equation   d2ydx2-1xdydx+yx2=1 .

Q: 13. Find the differential dy for each of the following. a) y = cos 2x- sin 3x b) y = x2 – V36 – x² |…

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Q: (y cos x + 2xe')dx + (sin x + x²e> – 1)dy = 0

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Q: Solve the following initial value problem for y: dy +e=2#, y(0) = 0 -2x COS dx

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Q: Find the differential equation such that y(x) = (x + 10)°(c,cos(2ln(x+ 10)) +c,sin(2ln(x+ 10))) d²y…

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Q: Solve the following initial-value problem: /3 V1-y? dx - V1 - x² dy=0; y(0) = O sin-x- 2sin-ly=…

A:

Q: If the integrating factor of the differential equation dy + py = q is sec³ x ,then the value of the…

A:

Q: Solve the following differential equations dy 1 cos x +y = tan x. dx 3. 2y cos x + 4y sin x = sin…

A:

Q: Find the general and special solution of .the differential equations X cos^2 Y dx +tany dy=0

A: By Separation of variable we can solve the problem.

Q: The solution of the following exact initial value problem (y cos x – xy sin x)dx + (x cos x – 1)dy =…

A: does not satisfy

Q: 1. [8te" dt 2. . (1–3x)sin(}x)dx 3. w'e*™ dw 1-1

A: "Since you have asked multiple questions, we will solve the first question for you.  If you want…

Q: cos x + x. d'y y=x° + 72x d'y +y-x" 72x because when tho socond deuvative S substituted for dx he…

A:

Q: What is the general solution to the differential equation y[1 – xy tan(xy)]dx – x[1 + xy tan(xy)]dy…

A:

Q: 5. Show that the following differential equations are exact. (b) (2ye* +cos x)dy –(e¯*y² – y sin…

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Q: 2. Obtain the general solution of the following first order differential equations. sin x sin y dy +…

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Q: (1+ In xy) dx + (-)dy = 0

A:

Q: The solution of the following exact initial value problem (y cos x – xy sin x)dx + (x cos x – 1)dy =…

A: The solution of the differential equation is defined as the function that satisfies the equation. In…

Q: To solve the ordinary differential equation dy 3+5y' sin x, y(0)= 5 dx %3D by Euler's method, you…

A: we have,3dydx+5y2=sinx, y(0)=5

Q: 8. Solve the initial value problem: ( dy = y(y + sin x), y(0) = 1 dx + cos x – + y? 2xy

A: The given problem is to solve the given initial value problem, Firstly we have to check the…

Q: What is the general solution to the differential equation y[1 – xy tan(xy)]dx – x[1+ xy tan(xy)]dy =…

A: Put yx=v and solve it.

Q: What is the general solution to the differential equation (tan x)dy – (4yIn y – y tan³x)sec?x dx = 0…

A: