OX±Y= 0Ý o +Y = ox + oý ±2[ E [XY] – E (X] E (Y] ] |

Q: let (xeX+ y) dx – x dy=0 which is a homogeneous differential equation.

A: Given homogeneous differential equation( xey/x+y) dx -xdy = 0We solve this equation by substitution…

Q: let (xeyx + y) dx – x dy=0 which is a homogeneous differential equation

A: Given homogeneous differential equationxeyx+ydx-xdy=0We solve this equation by substitution…

Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 7+ 14x…

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Q: Solve the differential equation. dy y + 1 dx O In |x| – ? () = tan - ex - x + tan-'(x) = C In |x| –…

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Q: Let y 5æ?. %3D 0.1 %3D Find the change in y, Ay when x 5 and Ax 0.1 Find the differential dy when x…

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Q: Let y 5x? + 5x + 2. || Find the differential dy when x = 5 and dx = 0.3 Find the differential dy…

A: GIVEN: y = 5x2 + 5x + 2

Q: Reducible to Exact (2xy ln y)dx+(x2+y2√y2+1)dy=0

A: We have: M = (2xy ln y)dx ∂M/∂y = 2x(1 + ln y) N = (x2+y2√y2+1)dy ∂N/∂x = 2x

Q: 1- xy dy + (x² + y² )dy = 0 dx 2- 2. dy – y = ex/2 3- (x + 2y)dx – xdy = 0 dy 4- cosh x+ (sinh x)y =…

A: As per the guidelines we can solve 2 problems.

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: Find the eneral integration of th following differential equation xy-Y Xtan y x

A: Concept: Homogeneous differential equation: By integrating the provided differential equation, the…

Q: dy y(x+y) is a homogeneous differential equation. %3D dx x2 O TRUE O FALSE

A: A differential equation of the form dydx=Fx,y is homogeneous if Fx,y=Ftx,ty. To find whether the…

Q: Let y = 2/x. Find the change in y, Ay when x = 3 and Ax = 0.3 Find the differential dy when x = 3…

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Q: dy y у-х Reducible to =2 + cos dx Y(2) = 2 I| Homogenous method

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Q: let (xev/x. y) dx – x dy=0 which is a homogeneous differential equation.

A: Given:

Q: The integrating factor µ(x) of the differential equation: dy (x In x) + y = 2 In æ is In x H(x) =…

A: Integrating factor is lnx see the step 2

Q: The Integrating Factor (I. F) of the differential equation dy - 35()y = ( 1)® is x' + dx O In(a² +…

A: The objective is to find the integrating factor of the differential equation

Q: Let y = (x² + 2)4. Find the differential dy when x = 1 and dx = 0.1 Find the differential dy when x…

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Q: Construct Green's function for the differential equation xy" + y = 0, 0<x<l under the condition that…

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Q: Let y = 5x?. Find the change in y, Ay when a = 3 and Ax = 0.3 Find the differential dy when x = 3…

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Q: What is the general solution of of the differential equation y = ysecz ? O (sec z+ tan z) - c O y…

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Q: 25. Let y = e*/10 (a) Find the differential dy. (b) Evaluate dy and Ay if x = 0 and dx = 0.1.

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Q: 4. Find the double integration of [(1+xy* )dx dy. ww m

A: The given integral is ∫04∫y2y(1+xy2)dx dy

Q: Let 2x2+ 3x+Y a) Find the differential dy when x = 1 and dx=0.1 %3D b) Find the difiea ial dy when…

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Q: d²y What is the particular solution to the differential equation x dx? dy x² with y = 0 and dy = 1…

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Q: The differential equation (xy2 + y)dy = (x + 1)dx is separable. Select one: O True OFalse

A: We have to find

Q: Oppgave 1 Regn ut integralene (dersom de eksisterer). Sre [x² x cos(x) dx S In(x) dx x7 15 1/√ √…

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Q: 1. Solve the equation (x – y In y + y In x)dx + x(In y-In x)dy 0 using the method for homogenous…

A: Please see the answer below.

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: The substitution v = In y can transform the differential equation (DE) dy/dx + y = 2(y In y) %3D…

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Q: Find the particular aolution of the differential equation with the initial condition given below.…

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Q: The differential equation (-xysin x+2ycos xdx +2xcos x dy 0 is

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Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 4+ 12x…

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Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 8 +…

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Q: dy +..... for | x |< 1. dx dy dy = 1+ dx Solve the differential equation y = dx

A: Given differential equation is y=1+dydx+dydx2+dydx3+..... for x&lt;1

Q: Let y = (x2 + 2)2. Find the differential dy when x = 4 and dx = 0.1 Find the differential dy when x…

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Q: Let y=(x^2+2)^2 Find the differential dy when x =5 and dx =0.5 Find the differential dy when x=5 and…

A: a) Find dy for given equation.

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: The integrating factor of the non-exact differential equation (x°y? + y') dx – (y° + x*y)dy = 0 is

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Q: Let y = 3x². Find the change in y, Ay Ay when x when x = = 5 and Ax = 0.3 Find the differential dy…

A: Given f(x)= 3x2

Q: Use the method of asymptotic expansion to find the asymptotic solution of the differential equation.…

A: We will use the basic knowledge of ordinary differential calculus to answer this question completely…

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

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Q: Let (2x In (y) + u(x)) dx + v() ) dy = 0, + v(y where u(x) and V(y) are differentiable for all X and…

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Q: Let y = 4√x. Find the change in y, Ay when x = 2 and Ax = 0.1 Find the differential dy when x = 2…

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Q: 37) y = 9 ln x √ 0 0 te the integral. cln 3 38) et dt e2x dx

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Q: dy Find the particular solution of the differential equation 4e* using the given boundary condition:…

A: Given : dydx = 4ex5y

Q: Let y = 3/. Find the change in y, Ay when x = 1 and Ax = 0.1 Find the differential dy when x = 1 and…

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Q: dy Find y(0-2) by using Euler's method for y=1 for x= 0. log10 (x+y) with initial condition %3D dx

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Q: dx + 2- + x = u(t) x(0) = x'(0) = 1 dt %3D %3D dt

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Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 8+16x…

A: The given initial value problem is                                  dydx=8+16xxy2    x&gt;0  ;…