-2x + 3x -x) dr- (sin y + y e (y e + +3y e) dy 0. x(0) 1 D 2r-- O 2y - y+ xr e O x+ 2x-y e-3y e+3e– 2 cos y = 3 O y -x - 6y e * - x e + 6e + 2 sin y 8 6y e + 5e + 2 cos y= 9 6r e + 6e-sin y = 2 -2x

Q: Find the general solution. 1. (2xy-3x2)dx + (x2+2y)dy=0

A: According to company rule we can answer only first question and rest can be reposted

Q: 26. da (x² cos y+ sin 2y) =(ry) x(- sin y y') + (cos y)(2z) + cos 2y - 2y = x-y' +y·1 = %3D %3D dx…

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Q: (x sin(x)+1)dy + (y sin(x)+xy cos(x))dx = 0 * O y= C(x^4 - In(x)) C= y+ x^2 O y =x cos(x) + C O c=…

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Q: Given: a = 0 – sin 0; y= 1- cos 0 d'y Find: dz2 O d'y 1 dz2 (1-cos 0) d'y 1 %3D dz2 (1-cos 0) O dy 1…

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Q: Show that an implicit solution of 2x sin2(y) dx – (x² + 11) cos(y) dy = 0 is given by In(x² + 11) +…

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Q: 6. [2x + y cos (xy)] dx + x cos (xy) dy = 0. 17. 2xy dx + (y? + x²) dy = 0. 18. 2xy dx + (y2 – x²)…

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

Q: 5. (xy² +y – x)dx + x(xy + 1)dy = 0 6. (1– xy)-²dx + [y² + x²(1 – xy)-²]dy = 0; when x = 2, y = 1 7.…

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

Q: 4. (ye"-2y)dx + (xe-6 xy- 2y)dy = 0; x = 0 when y = 2. 5. (x+3) cos y dx - (sin y In(5x + 15)-y} dy…

A: The exact differential equation for the equation, F(x,y)=C, is written as Fxdx+Fydy=0, where, Fx ,…

Q: 3 - y cos xy - 4x ) dx + (- 2x+3y x cos xy + 2y) dy = 0 - | 2x+3y 2.

A: Compare the given equation with Mdx+Ndy=0 to obtain M and N. Calculate the partial derivatives of M…

Q: dy : y4 — e²xy³ = 2 sin(x + 3y). dx cos(x+3y) + y²e2xy³ 2y³ +3[cos(x+3y) + xy²e²xy3] cos(x+3y) +…

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Q: dy ,the differential equation xtan x + In y)dx +tan x dy =0 reduces to Using the substitutions 2 =…

A: Substitution in differential equation

Q: 6. (5x*y+ 4x³y³) dx + (3x³ + 5x*y²) dy = 0 7. 3y4 dx + (4xy³ + 5x¯2y+) dy = 0 8. (2xy? + y + 2xy cos…

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Q: Find the differential equation of the following function (x – 3y + 2)dx + 3(x + 3y – 4)dy = 0 x-1 a.…

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Q: 2. (2.xy – sin x}dx+ (x² - cos y ldy =

A: We will solve the given differential Equation.Below find the solution in the image.

Q: (4, w/8) 1. (y cos xy dx + x cos xy dy) (0,0) (0,5) 2. e2* dx + ye2 dy) (5,0) (1,1) 3. 2(x dx +y dy)…

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

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Q: Find the differential dy: y = In(sec² ( 3"-2*+5)). Find the differential dy: y = In(sec? ( 3-2x+5…

A: We have to differentiate given function

Q: 22. If y = x+4 then what is 4Y? dx dy a. 4x(x + 4) dy С. dx -4Vx + 8 dx dy b. dx =-4(x + 4)= d. dx…

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Q: Given (1+ 3x sin y) dx – x² cos y dy = 0 with y(1) = 0. Using Euler or Runge – Kutta method, what is…

A: Given 1+3xsin ydx-x2cos y dy=0....(1) with y1=0 We will find the value of fx, y to approximate y

Q: A. y,(x) = Ax + Bx + C, B. y,(x)= Ae", C. yp(x) = A cos 2a +B sin 2x, D. yp(1) = (Ar + B) cos 2x +…

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Q: 5. (1- xy)-dx + [y2 + x(1-xy)-]dy = 0 6. (y- cos?x)dx + cos x dy = 0

A: Exact differential equation. An ordinary differential equation Mx,ydx+Nx,ydy=0 is said to be an…

Q: 1. dx+ e*dy=0 5. x(1- y)dx+(x² -2)dy= 0 5. sin2xdx+4ycos² 2xdy=0 dy_ xy+3x-y-3 dx xy-2x+4y-8 . (4y+…

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Q: 1. y" - 2y' - 3y = 5e¹, y(0) = 1, y'(0) = 0 2. y" + 2y + 5y = 3 sin(2x) 3. y" - 4y + 4y = -7x+4x²,…

A: Since you have posted multiple questions. As per guidelines we"ll solve only  first question. If you…

Q: x-2-x-4 is x-2-x- The differential of y= (A) dy = dx B dy= - -dx © dy=-dx none of the given choices…

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Q: 2. In(x + iy) = A. cos(x) cosh(y) - i sin(x) sinh(y) B. sin(x) cosh(V) + i cos(x) sinh(y) C. cos(x)…

A: solution

Q: 2.8 Find the particular solutions of a) y - x- = 1 + x² dy 2 dy = dx b) (1 + x²)2 dy dx dy dx dy c)…

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Q: I (1-x) y"- 4xy't 5x = cos x 2 d + tx=0 3. to ylm) _ t° y" +6y = 0 4. x + Y =0 dx 5. x y' - 4 seny =…

A: Linear equation means independent variable is in linear. That is independent variable is free from…

Q: Which of the following differential equations is exact? O (cos xy + xsiny) dx + (y – cos x + sin y)…

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Q: 6. Find the general solution of (cos cos y + ycos x ) dx + (sin sin x x cos y - y sin x = C - x cos…

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Q: e-2* (1 + x²)dx + cos y dy = 0, when x = 0, y = 0 o 2e2*(cos y – sin y) + e(2x² + 2x + 3) = 5e2x*y o…

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Q: 3- Find the solution of given initial value problem: y" +y= u3(t), y(0) = 1, y'(0) = 0 y(t) = sint +…

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Q: 6. Find the general solution of (cos cos y +ycos x) dx+ (sin sin x – x sin sin y ) dy = 0 A. x cos y…

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am…

Q: ə)o y"-2x°y"+y'= 0 xy - xy'-y' In(x) C) O ge 3y"+y' e* cos x d) y y+ xy"-y 0 3. e) y"-2 y) +y 0

A: We will use elimination technique to answer this question by eliminating options which do not…

Q: 1. (2xy-tany)dx + (x² – xsec?y)dy = 0; y(1) = r 2. [4x°cos(xy)-x*ysin(xy)- ye" +3x²]dx…

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Q: (3y' + y)y = x (1) y' - 3x'e-y = 0 (2) Inydx + (x + y)dy = 0 (3) xy' +y = sin x+2 cos x (4) (2x –…

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Q: 3. у(3x3 — х + у)dx + x?(1 — х?)dy 3D 0 4. у(2х — у + 1)dx + x(3х — 4у + 3)dy 3D 0 5. (r + sin 0 –…

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Q: 1. + e*y² = x²y² dy da 2. y + sin x = x³y 3. In x - x²y = xy dy da + cos y tan a

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Q: 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…

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Q: 2. y' = y sec x ; 3. у(3x3 — х + у)dx + x?(1 — х?)dy %3D 0 4. у(2х — у + 1)dx + x(3x — 4у + 3)dy — 0…

A: 2) y'=y secx this can be written as dydx=y secx⇒dyy=secx dx integrate the function ∫dyy=∫secx dx…

Q: Given: X == In(x²y - 1) y Find dy/dx. dy dx x²y-1 y-1 (E) None of these 1 2xy dy y x²y-1 dx + dy dx…

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Q: 1 If y = sin' x then is dx dy dy -3 cos x b) dx a) –3 sin² x cos x dx sin¯ x dy dy _ -3cosx = -3…

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Q: If f(x.v)= e-2x° cos(5x +y),- af dy O a. e-2[4xcos(5x +y) + sin(5x + y)] O b. -e-2x[4xycos(5x + y) +…

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Q: Form a differential equation from y =c(x' +2), here c is arbitrary constant. %3D а. dy (x² + 2) –…

A: y = c(x3 + 2)    ..............................(1) differentiation w. r. to x dydx = c3x2 + 0dydx =…

Q: I Sohe the differential equations FODE 1. ( 3x-y-4) dy (x+y-4) dx when x-3, y=7 2. 2x°cos y dy + sm…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 6. Find the general solution of (cos cos y +ycos x) dx+ (sinsin x – x sin sin y ) dy = 0 A. x cos y…

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Q: 7. (cos x+xcost)dt +(sin t -t sin x)dx = 0 Ans. t cos x+x sint c 8. (ysin x+xy cos x)dx +(xsin…

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Q: 11) e3x = sin(x + 8y) %3D dy A) - dx 3ex 8sin(x + 8y) 24ex dy B) dx sin(x + 8y) dy sin(x + 8y) -3ex…

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Q: 1. (2xy + x²) dy + (2xy + y²) dx = 0 A2 (3x² + 2xy) dx + (x²) dy = 0 *AA 3. (3x²y³ + 3 sin x + 4y)…

A: Disclaimer: SInce you have asked to solve only question 3, this question has been solved only.…

Q: 1. (2xy + x²)dy + (2xy + y²) dx = 0 1000 A2 (3x² + 2xy) dx + (x²) dy = 0 2. *ALA 3. (3x²y³ +3 sin x…

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