6. х" — 16х %3D cos 2t

Q: Solve the following first order differential equations Use any method: 4, 2x dx - 3xy dy 0, y(1) 0

A: First order differential equation, 2x2dx-3xy2dy=0 , y(1)=0 Given, y(1)=0…

Q: Which of the following represents the particular solution of the differential equation or ryy = 1 +…

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Q: 1. Solve the following differential equation dy dz fip + 2y = e sinz dr by using the method of…

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Q: 4. dy – (x - y + 1)²dx = 0

A: As we know that; ∫dxa2-x2=12alnx+ax-a+C   The given differential equation is: dy-x-y+12dx=0 So, we…

Q: 2) y"-y'-2y=sin2x

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Q: Q2. Solve the following differential equation by using modified Euler's method with a step size of…

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Q: 5) y = 2( 3x + y ) - 1

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Q: 1. Use the method of homogenous equations to solve the following differential equation (2² + 3y²)dx…

A: We use the method of homogeneous equations to solve the given question.

Q: 1. y' + 52 = x² + 1 %3D

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Q: 8.) Match the following differential equations with their phase portraits A.) x" + 10x' + 24x = 0…

A: Differential equations as it's phase portraits given below

Q: 2. xy' – y = y3 cos 3x

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Q: mydx = nxdy Ans. x" = cy"

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Q: I. Find the solution of the following Homogeneous Differential Equations. Simplify it free from In…

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Q: 3.) у" - 4y' + 4у %3D (х — 3)е2х 4.)у" + 16у %3D 16tan4x

A: Given differential equation  y" -4y'+4y=(x-3) e2x As per our guideline  we supposed to answer only…

Q: 2 = 5y + e-2*y-2 ; when y(0) = 2 dx

A: Given:    y'=5y+e-2xy-2     y(0) = 2

Q: y' - (2xy - x³ ) = 0 %3D

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Q: 4) x ·+y Bernoulli dx

A: I have applied Bernoulli  then it converted to Linear Differential equation then I solved it.

Q: Obtain the general solution of the following higher order differential equation. 5. (2D4 – 128D)y =…

A: We have to find the general solution of the 4th order differential equation 2D4-128Dy=0 where D=ddx.…

Q: 2. xcos²y dx + tanydy = 0

A: The given differential equation is; xcos2y dx+tany dy=0 Repost the next questions.

Q: Find the complete solution(y= ye+yp) of the following Euler- Cauchy differential equation 4x'y" -…

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Q: Apply the undetermined coefficients method to find a particular solution of the following…

A: Given differential equation is y''−y'−6y=25e3x......1. We have to find the particular solution of…

Q: 1- ylnydx+(1+x*)dy =0

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Q: 2. Solve the following homogenous differential equation dy 2ry = (a + 3y). |3D

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Q: Solve the following differential equation using the fourth-order Range-Cata method and find the…

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Q: :- 5y = e** cos 2x dx

A: Solve the linear differential equation

Q: Use the method of variation of parameters to find a particular solution of the following…

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Q: Solve the following second order nonhomogeneous linear differential equation. y''+4y=0 y(0)=-2…

A: y''+4y=0 find roots r2+4=0 r2=-4 r=±-4 r=±2i r=2i, r=-2i for complex roots general solution is…

Q: Solve for General/Particular Solution for the following differential equations. = Gsin 2y + 1)dy…

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Q: Find the general solution of the following differential equation. with all the details and integrals…

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Q: Use the method of undetermined coefficients to find a particular solution for the following…

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Q: + y = 4x + 1, dx y(1) = 5. Lineal

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Q: 3 dr- - Art , when: t=0, r=ro 3. dt

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Q: 5. Solve the following second order differential equation dy dr + 9y = 4- cos (3r) by using the…

A: given differential equation d2ydx2+9y=4-cos3x claim- solve the differential equation using method of…

Q: Find a general solution of the following differential equation: d'y + 4y = tan2t +e3t dt2

A: The solution is given as

Q: 5. Solve the following second order differential equation dy + 9y = 4 – cos (3x) dx² by using the…

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Q: Apply the undetermined coefficients method to find a particular solution of the following…

A: Given DE is y"-y'-6y=25e3x.........(1)

Q: Find a Particular Solution for the following differential equation y" – 4/ – 12y = 2t3 -t+ 3

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Q: Find a PARTICULAR solution of the following differential equations by using UNDERTERMINED…

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Q: J4-yズ ニo dy

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Q: Find the differential equations of the following primitives by eliminating the arbitrary constants.…

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Q: Solve the following differential equation I. Using Method of Undetermined Coefficients y" - y-2y= e*…

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Q: 3. Find the solution of the following differential equation with specified initial conditions.…

A: (3) Given equation is 9y''+6y'+y=0 The objective is to find the solution for the differential…

Q: 1. (y²+ 6x²)dy –- 4xydx=0

A: The solution is given as

Q: (х + 3у — 4)dx + (х + 4у—5)dy %3Dо

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Q: y" + y' – 2y = 2t, y(0) = 0, y'(0) = 1

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Q: Find the differential equations of the following primitives by eliminating the arbitrary constants.…

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Q: Find the differential equations of the following primitives by eliminating the arbitrary constants.…

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Q: dy + 6ycos3x = cos3x dx

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Q: Solve the following linear differential equation with the given initial condiont

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Q: Apply the undetermined coefficients method to find a particular solution of the following…

A: I solve the question in two different method that I show given below.