The order of the differential equat 2x2 - 3+y = 0 dy + y = 0 dx2 dx O not defined O 2

Q: dæ + 5x + 6 æ dt 4t where: a(0) =2 dt %3D

A: Given dxdt+5x+6∫0txdt=4t where x(0) = 2  x'+5x+6∫0txdt=4t  x(0) = 2  denote x=ϕt…

Q: dr The differential equation dt2 -)² + sin() +1= 0 has degree dt dt (a) 3 (b) 2 (c) 1 (d) not…

A: We’ll answer the first question. Please submit a new question specifying the one you’d like…

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: Show that the Fresnel integral satisfies the (differential) equation (S'(x))2 + (S''(x)/2x)2= 1.

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Q: The Particular Integral for the Euler Cauchy Differential Equation d²y dy is given by - 5x + 9y = x5…

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Q: Evaluate the differential equations: Integrating Factor by Formula a) (2y2 + 2y + 4x2)dx + (2xy +…

A: Given:  a) 2y2+2y+4x2dx+2xy+xdy=0b) y2cosxdx+4+5ysinxdy=0

Q: Show that the solution, of the differential 5x3 is of у — ху? — х*у dy equation: dx xy² – x²y – 2r³…

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Q: The differential equation of y = 4c sin z after elimination of the arbitrary constant c is O y = 4y…

A: Answer

Q: Solve ODE for general solution: (2ysin(x)cos(x)-y+2y^(2)e^(xy^2))dx=(x-sin^2(x)-4xye^(xy^2)dy

A: Hence the given ode is exact. Obtain the general solution as follows,

Q: (b) Solve the integral [(3x – y)dx +(2x +3y)dy along the curve x = y' from (0,0) to (1, 1).

A: Solution of question as follows

Q: Solve differential equation using Laplace transforms. d²y dy + 4 + 4y = 60 y(0) = y' (0)= 0 dt? dt

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: dy/dx − x^3 = 0 where y(0) = 5

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Q: The differential equation x*(x – 2)²y" + 3(x – 2)y' + y = 0, as the singular points at x = 0 and x =…

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Q: Q4/ 2x 1- If z = f(x,y) and z = x²y³ + + 1. Determine the total differential. -"/2 2- Evaluate: 2 S*…

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Q: A. Integration by parts o (3t + t*) sin(2t) dt

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Q /Find the solution for the partial differential equation using Lagrange method az az + - ax = 2y…

A: We have the partial differential equation 2∂z∂x+∂z∂y=2y , where zx,0=cos3x If we have a partial…

Q: Find a differential operator that annihilates the given function 1. y= 4e* +3e¯* 2. y = 2e cos 3.x…

A: According to our answering guidelines we can only answer 3 subparts at a time, rest you can repost…

Q: Obtain the differential equation of all straight lines at a fixed distance p from the origin * O…

A: The general form of equation of a line which is at a constant distance c from the origin is…

Q: If f(x, y) = 4x² – 6y², then the total differential of f at x = 1 and y = -2 is : O df = 24 dx + 8…

A: df=dx+dy (see step 2).

Q: 2. Find the differential du of the given functions. (a) y = (12 – x²)3/2 dy = -3r/12 – x² dx (b) y =…

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Q: 1. 3y(x²-1)dx + (x³ +8y-3x)dy = 0

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Q: Find the generat Solution t dy (2y + xy) dx or Special o the differential * +1=

A: We have to find the general solution to the differential equation 2y+xydydx=1+4x+4x2

Q: The non-exact differential...(x² + y²)dx + (3xy2 + 2xy + x³)dy = 0 can be reduced to exact after…

A: We need to determine the integrating factor for the differential equation: x2+y2dx+3xy2+2xy+x3dy=0…

Q: 1. y = √2x +7 2. y = √7+√√3x + 1 3. y Arctan√1-x²

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Q: 2(y-4x2) dx + x dy

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Q: -u"(x) = sin(x), u(0) 3D 0, и(т) —D1. и(т) — 1.

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Q: The degree of the differential equation 2 (d²y' (dy\ 3 +1 = 0 dx2 dx, none O not defined O 2

A: Degree of the differential equation is the power to which the highest order derivative is raised.

Q: Is the differential equation (uv+u)du = [(u^2)*(v^2) + u^2 + v^2 + 1]dv separable?

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Q: The integrating factor of the differential equation (x+x sin 2y) dy =2y dx js: A x-3

A: We will find the integrating factor as shown below

Q: Which of these differentials is exact? (only one of them is exact) (1 – 2xy)dx + (x² + y²) dy O (22…

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Q: Using the substitutions 2 = In y and dz= - dy , the differential equation xtan x + In y)dx +tan x…

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Q: Find the solution of the differential equatlor dy 3xeY, y(0) = 0 dx %3D

A: Consider the equation

Q: tion of the separable equation dy 23 3 +2)³ + 2)?

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Q: Obtain the differential equation of the family of straight lines with slope and y-intercept equal.…

A: We obtain the differential equation of the family of straight lines with slope and y-intercept…

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: Find the differential dy of the given function. y = x cos 2x dy Submit Anguer X

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Q: Transform into first order linear form the differential equation (1 cos z) y' sinx (sin r + sin…

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Q: An important and very useful exact differential to (2y² + 2x² + y)dx – xdy = 0 а. Inx y c. InY X b.…

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Q: Find the differential dy. x + 2 y = 9x - 1 dy =

A: In this question we have to find we have differentiation of y.

Q: Solve the equation by the method o f homogeneous differential equatio ns y' = ² + tan (2) x In |tan…

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Q: the differential eauation, (メ+3y-5)y- (3メ+yーラ)dyこ Can be transfor med Into homogeneous differential…

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Q: Determine the differential equation whose integrating factor is x2 A (2у-3x) dx + х dy%3D0 B В y dx…

A: Suppose we have the first order differential equation dydx+Py=Q,where P and Q are…

Q: 3. Find the total differential of the ff. at (1, -1). f (x, y) = 3.x² + y² – xy %3D

A: Solution:Givenf(x,y)=3x2+y2-xyFormula:d(xn)=nxn-1

Q: Use separation of variables method to solve the partial differential equation: du d²u du(x,0) = +u…

A: Given Partial differential equation (PDE) ∂u∂y=∂2u∂x2+u Given, Initial conditions u0,y=0 and…

Q: Use integration to find the general solution to the differential equation: sec(y) dx (x – 4)2 1 + C…

A: Given, dydx=secyx-42  We have to find the general solution of the differential equation.

Q: If f(x, y) the total differential of f at (0, ) i 16e Cos x + 7 cot y, then the total differential…

A: Total differential

Q: The order and degree of the differential dy equation + respectively, are O 2, 2 O 1,2 O 4, 2 O 2,1

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Q: (b) Solve the integral (3x– y)dx+(2x+3y)dy along the curve x = y' from (0,0) to (1, 1).

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