Solve this Di fferential equat ion by applying (Variation parameters) y+y%3DSE c x

Q: dy 4x2-х-2 : У(1) %3D 1 dx (х+1)(у+1)

A: Explained below

Q: Solve as required : Given : Z = 3x?y³ – 4x*y? From the given, solve the following: Əxðy dx²Əy 2. 1.

A: It is given that, z=3x2y3-4x4y2. 1. Find ∂2z∂x∂y as follows.…

Q: Solve the given ODE using the method of variation of parameters y" + 4y = sec 2x

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Q: 3evy dy 4, 18. &p y

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Q: Solve the IVP (2xy?+4)=2(3-x²y)- y(-1)%3D8 the constant Cis dx

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Q: carctan3/2 3 sec x y dy dx

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Q: Subsitulion Solue The DE using subsitilan metorJ

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Q: Find the general solution for the given equation: y’’ + y = csc x

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Q: 8. (e* sen y + 3y) dx – (3x – e* sen y) dy = 0 %3D

A: Exact differential equation

Q: Use appropriate substitution to reduce the following equation to a variable separable and then dy 3x…

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Q: Solve the following equation and find the solution y as a function of x and C (constant of…

A: We have observed that the given differential equation is a first order separable ODE. So, by…

Q: Solve an exact equation?  M(x,y) + N(x,y)*dy/dx = 0

A: Given: M(x,y)+N(x,y)(dydx)=0

Q: Solve the given Bernoulli equation by using this substitution. 1 ty' + 4ty - y³ = 0,t > 0

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Q: Solve the homogeneous equation xdy−ydx =√(x^2 +y^2)dx

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Q: y" – 4y' + 13y = e2x cos 3x

A: Given: y''-4y'+13y=e2xcos3x So, we can also write as: D2-4D+13y=e2xcos3x So, the auxiliary equation…

Q: Use appropriate substitution to solve the following (iv) zy" + (y/) 0. %3D

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Q: Solve the following deferential equations using variation of parameters: 2. y"-2y'+y =

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Q: solve the bondry value prablem (D2,36/y= Sinbx given ylol0 मि हि

A: See the attachment

Q: Wse the genoral solution of the dfferentrol eguctron gives below to use the poranmeter Exchange…

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Q: The appropriate form forVthe method of underenmined coeerents was used to solve the DE y" + 3y +…

A: c NOT option is correct.

Q: Solve the Bernoulli equation. 3xy' + y = y¯8 x>

A: We have to solve

Q: (S+2) (s?+u] solve by using partial straction

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Q: Without solving, classify the following equations as to: separable, homogeneous, exact, linear,…

A: Classification of the differential equation

Q: Solve the following deferential equations using variation of parameters: 6. y" – 2y + y =: 1+ t2 7.…

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Q: solve the equation by using Bernoulli's equations. y' + p(x)y = f(x) y ln y

A: Y’ +p(x)y =f(x)ylny divide equation with y both side we get y’ /y +p(x) = f(x) lny now consider lny…

Q: (D² + 1)y = sec² x csc x X cSC X

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Q: Solve the following using exact equation or linear whichever is applicable. (x− 2y)dx + (y − x) dy=…

A: Given: (x− 2y)dx + (y − x) dy= 0

Q: (b) Consider the IVP, test whether it is exact and solve it. x(x – y)dy = -(3xy – y²)dx y(-1) = 1

A: Given differential equation x(x-y)dy= -(3xy-y2)dx   To test exact or not ,if it is exact then solve…

Q: Solve the following Bernoulli equation y' – y = (2t – 3)y i

A: Bernoulli Equation : Consider y'+p(x) y=q(x)ynThen we let v=y1-nAnd solve the equation by…

Q: 17) csc 0 18) sec 0 315° V3 B) А) —1 B) C) D) 0 C) -V2

A: We know that sin(-thetha)=-sin thetha Cos(-thetha)=cos thetha

Q: C. Solve the following using Integrating Factor by Formula 1. 2y(x2 — у + х)dx + (x? — 2у)dy %3D 0

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Q: Solve the initial value problem. d?y = 6-30x, y'(0) = 8, and y(0) = 4 dx? %3D y(x) = |

A: According to question,Given differential equation,d2ydx2 = 6-30x,y'0 = 8y0 =4

Q: (8) 2xy = x2 + 2y² = x² dx

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Solve for the DE equation associated by the given function: a. y = Ae2x + Be* + C. b. y = Ce3* +…

A: First we will find the roots of the Auxiliary equation corresponding to the differential equation…

Q: Find the general solution of the DE y" +2 y' +2 y= a cos (wt), where a and w are constants. Note:…

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Q: Solve y" – 4y' + 5y = e*cosec x by method of variation of the parameter? %3D

A: Given that, the differential equation is y''-4y'+5y=excosecx. The auxiliary equation is m2-4m+5=0.…

Q: sive a particular solution for y" - 2y' + y = z 1+x2

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Q: Solve the general solution dy = 1+x + y? + x²y? %3D dx

A: Given,           dydx=x2 + 1 + y2 + x2y2

Q: Find the solution of: y" +y = 2e' ,y(0) = 0, y'(0) = 0 Select one: a. y = e' b. y = 2sint - cost +…

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Q: y dx + (3x – xy + 2) dy = 0 -

A: As per the instruction, we will be solving only the first one. For (4),We will solve it by Exact…

Q: Use the method of separation of variables to solve the heat conduction equ д?и 1 ди k > > 0

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Q: Solve the Bernoulli equation dy + xy = xy dx y = (ce²² – 1)-} .B y = (ce² +1)-} .C y = (ce²² + 1)-}…

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

Q: Solve the first ODE and find the value of C constant when v(1)-2 dy 6x2 + 4x + 4 dx 4y

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Q: Using the method of changing independent variable, solve (1+ x)°y" + (1 + r)y' +y= 4 cos(In(r + 1))

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Q: z Solve the following di fferential equations xdy y x²+y² 1. dy

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Q: Solve the following 3. y* Va - y* dy

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Q: 8. (y + 1) dx + (4x – y) dy = 0

A: Given Equation is y+1dx + 4x-ydy = 0

Q: Solve the following using Integrating Factor by Formulas. 2. y(2x – y + 1)dx + x(3x – 4y + 3)dy = 0…

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