dy = (y – 1)4 dx he critical points and ph

Q: y dx + x dy = xy dy %3D

A: We will find out the required general solution.

Q: 7- cos y dx + (x siny - cos²y)dy = 0

A: Note: as per guidelines we support one question in one request . kindly repost next question in next…

Q: g) y ext= cosh x + √cosh²x -1 +7 ex е X h) (3 x y² + 4y) dx + (3 x²y² + 2x) dy = 0 I) sin x dy dy -…

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Q: e particular solution of the differential uation x^2 dx - (y+1) dy 0 if y(0)=1 2y^2+3y-6x^3+6= 0…

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Q: 9 dx dy +ytanhx= 2 sinh x dy - 2y = x' cos x 10 x dx

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Q: (3e* sin(y) + y)dx + (2x + e* cos(y))dy = 0 not exact

A: Que is not clear though. We Shall check exactness for the given differential equation. If you have…

Q: 31+2 dy - of the function y= dt 7. Find +4 dy of the function y = 5 tan (6x)+ log, (36x² + dx 8.…

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Q: B: By using Homogenous method solve the first order differentia еquation (1+ e») dx - e"l> -1) dy =…

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Q: 7 Find dy (b) x siny-ycosx-y = 1. dx

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Q: (cos 2y-3x²y³) dx +(coS 2y -2x sin 2y-2x*y) dy =o 2.[2x + y cos (xy)] dx + x cos (xy)dy=o 3. (xy²+…

A: Using method of exact differential equation.

Q: 2. Find the value of dx at y=2 if x=z²+5z and z= (y² + 2y)²/3.

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Q: 2, t'y"+ty'+y= Cos(int)

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Q: Find a set of solution. Integrating factors found by inspection.   y(x2 + xy2 - 1) dx + x (x2 + y2…

A: Given the differential equation y(x2 + xy2 - 1) dx + x (x2 + y2 +1) dy =0. We need to find the set…

Q: 11) (3ycos(3x)dx– sin(3x)dy)/ y = 0 12) sin(ß y)dx =-ß cos(B y)dy

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Q: • Determine the value of C for the given first order differential dy y(lny-Inx+1) equation dx when…

A: To find:- particular solution of given differential equation

Q: The degree and order of the differential (出) 1 8 dy equation 1+ is 3 dy dx dx

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Q: The order and degree of the differential d³y V dy equation: 7+ is dr3 dx 3,2 7, 3, 3, 1 3,7 Question…

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Q: 4- Find dy/dx for: d- y = /1+ sin³ (x5) e- y = 2(Va – 1)( f- y = cos³{sin(2x*)} x-2 x²+3x' %3D

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Q: dx 9. J, 16 Vx - 2 3 10. x V9- x dx 11. [ sinycos ydy dx 12 J. (x – 3) x- x 13. [ x +x

A: Use substitutions to integration

Q: 3. Find dy/dx of: x'(x-y)-x-y evaluated at x = 0.001 and y = 0.002

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Q: Find out all the curves passing through (0,-1) satisfying the dy 1( dy dx 4 dx differential…

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Q: dy +cosh 2y=0 dx 3. sin x ans: sinh 2y-2cosx3Dc

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Q: Solve for the DE: (y²-1)dx + (2xy- Siny) dy =0 When x= -1 ; y= 0

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Q: y (y^3-x) dx + x(y^3+x) dy=0_At· muon

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Q: 8/ (e* sin y +3y)dx -(3x-e* sin y)dy = 0

A: Given thta  The differential equation

Q: y(2x – y + 1)dx + x(3x – 4y + 3)dy = 0 -

A: Compare the given equation with Mdx+ N dy =0 to obtain M and N. Here M(x,y)=2xy-y2+y         N(x,y)=…

Q: Find the integrating factor: cos⁡ x dy+[(y sin⁡x )-1]dx=0

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Q: A/ Integrate TWO only 2x dx 1) S- 2) S 4e cos4x dx 3) x In(x + x)dx x +x+1 B/ Ali is filling a cone…

A: As per the guidelines we can solve 2 problems

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: 4. ox x cost at cost of 3 procuct nule J cost dt + cost at [sint] + x CSLX)ま(x) = Sin x - 0 + x cos…

A: To determine ddx∫0x3 x cos t dt.

Q: y(1-x^2) dy/dx=x(1+y^2) solution of first order Deferential Equation

A: We have to find solution of y(1-x2)dydx=x(1+y2)

Q: se the method of variation of parameters to determ colution of the given differential equation. y(4)…

A: Given,     y4+2y''+y=9sint

Q: 1- Find the equation of the tangent to the 2(x2 + y2)2 25(x2 - y?) at (3,1) 2- Find dy/dx for y =…

A: (1) given equation is                                              2x2+y22=25x2-y2,   at (3, 1)…

Q: y² cos x - 3x3y - 2x) dx + (2y sin x - x³ + Iny) dy = 0, when x = 0, y = e x² - 1) dy = ((1 + x)2 -…

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Q: 2) (2x + sin x) dx + x cos y dy = 0 3) - 2y + a = 0 dx dy 3y 4) r2 (Exact). (Separation variables).…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 7 Find (b) x siny-ycosx-y 1.

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Q: (y2 cos cos x – sin x)dx + (2y sin x + 2)dy = 0 -

A: The given differential equation is first-order non-linear ordinary differential equation:   First we…

Q: dy (2² + 9) + æy - = 0 da

A: To determine limit x tends to infity y(x) for the given differential equation

Q: 1. siny dx + (x - sin² y)dy=0 2. x + ( 1+x)y = e -× sin2x dx

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Q: The general solution for the flowing differential cquation is * (3x+ycosx) dx +(sinx-4y )dy =0

A: We will split the equation into separate differential forms and then integrate accordingly to get…

Q: The degree and order of the differential 1 dy equation 1+ is 3 dx wy dx

A: Solution

Q: 7- cosy dr+(x siny-cos y)dy=0 8- (1+y)dx+(2xy+ y +1)dy = 0

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Q: 1. dy = 2 – y²dx 2. x(1+x* )dy =(y +y x²-x* )dx 3. ( y² – 1) dx + (2xy – siny)dy=0 V2x-x2

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Q: he differential equation by Frobenius me ents represented up to and including x3 dy + (x² +1)y=0 dx…

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Q: Find an integrating factor depending only on x that will make 2ye 5x* 3 sin y + 5xex + dx + (x cos y…

A: Given:            Let the differential equation is in form 3siny+5ye5x+2ye5xxdx+xcosy+e5xdy=0…

Q: 3. Find dy/dx of: x'(x-y) -x-y evaluated at x = 0.001 and y = 0.002

A: The given equation is x2x-y2=x-y2 at x=0.001 and y=0.002.

Q: Find dy/dt Y=(1+Sin 12t)^-5

A: Given function is y=(1+sin12t)-5

Q: 7 Find (b) x siny-ycosx-y = 1. dx

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Q: 2. Find the linear approximation to y = sinh (3x) at x=2. State your answer in both exact form and…

A: Find the linear approximation of f(x) at a point x=2

Q: 1. Find given x = 0 - sin 0 dy dx' y = 1- cos 0 1. Find dy given x = et-cos t y = et - sint 3. Find…

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