3) х2у' %3D 4x2 + 7ху + 2y?

Q: 3- Find a Paticuler solution for the following differential equation. -6y-2y + - sin Cet)

A: NOTE: As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Show that the following differential equations are homogenous and solve

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Q: Show that the following differential equations are Bernoulli and solve for the general solutions.

A: Given differential equation is 2ydx+xx2lny-1dy=0 We need to show that the given differential…

Q: Answer the following homogeneous linear differential equations with constant coefficients.

A: This is 2nd order homogeneous differential equation. We will solve this differential equation by…

Q: Solve the following first-order differential equations by the indicated method.   Using Variable…

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Q: Write a fifth-order differential equation that has the following general solution: Cез* + Сzе-2х +…

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Q: -Solve the following differential equations: 1)+²=x² (Integrating factor).

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: у' — (cotx)у %3D- (2сosx)у-2

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Q: Solve for the general/particular solution for the following differential equations using separation…

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Q: 5. Solve these differential equations by using the variation of parameters method. 4+36y=csc 3x (b)…

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Q: Find the general solutions of the given differential equations.

A: In this question, we solve the system of differential equations by the method of elimination.

Q: 3. (D² + 4)y = 5e* – 4x2 -

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Q: Solve the given differential equation by undetermined coefficients. у" - Зу" + Зу' - у %3D х - 8е*…

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Q: (ye Cn2

A: Using the exactness property of differential equations.

Q: ya + yi = 1, when x = 0, y = 4 dy = cos(x + y), when x = 0, y = dx

A: Firstly we arrange the differential equation and after that we separate the variables and integrate.…

Q: 6. y = c,eaxcosbx + Czeaxsinbx and a and b are

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Q: 2ху+3у? dy 7. dx x2+2xy

A: Solution of these differential equation  Using y= vx

Q: = csc x – ycotx

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Q: The characteristic roots in the differential equation (4D^4 + 4D^3 - 3D^2 - 2D + 1)y = 0 are all…

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Q: Solve the differential equation by the method of integrating factors.

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Q: Formulate a differential equation that is satisfied by 1. y=Ae2+ Bxe²r

A: To find: The differential equation: Given: The equation is y=Ae2x+Bxe2x. Concept used: Product rule:…

Q: Find the solution of the following Differential Equations by Homogenous Equation 6) y'=+x y-x

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Q: 4y" + y' = 0

A: We calculate differential equation by the help of Euler identity

Q: 4- Solve the following differential equation. aA aA oA +04 = 0

A: Given differential equation is ∂2A∂b2+∂2A∂c2+∂2A∂d2+θA=0         (1)   Using separation of…

Q: solve the following implicit ordinary differential equations. х — у — 1 Зу — Зх — 3 y (1) = 1 %3D -

A: H

Q: Sinx - ý casx = .

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Q: Solve the differential equation. du/dt = 7 + 7u + t + tu

A: Firstly arrange all terms on Right hand side equation and after that separate the variables. when…

Q: Could you please solve the differential equation: u' = 3u + e2t with variation of parameters and…

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Q: Find the solution of the following differential equation using appropriate method.

A: Here we will find out the required solution.

Q: Determine the solutions of the following differential equations using Type IV:

A: Given that: (x2-x-2y+1)dx-xdy=0 and y(1)=12

Q: 7. x = A + By + Cy² + De-4y; xV + 4x"' = 0

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Q: 2. y' %3D х- Зу

A: The objective is to determine the integrating factors  of the following differential equation and…

Q: Write the general solution of the given differential equation. Do not solve for the constants in the…

A: y′′ −4y′ +4y=x2e−10xcos(10x) Second-order linear non−homogeneous differential equation with…

Q: 2. у" — Зу' %3D 12х

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Q: у" — 2у' + 5у 15x? – 3x – 3 Зх — - - |

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Q: J4-yズ ニo dy

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Q: Solve y" –3y' = 2e* +5sin 2x

A: We will find out the required solution for the given differential equation.

Q: Solve the following Higher order Differential Equation y(4)- y"+2y-0

A: The general solution of a higher order differential equation is given by;…

Q: Find the solution of the following Differential Equations by homogenous equation 7) y'=(y-x)

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

Q: Solve the following differential equations using the method of variation of parameters.

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Q: Solve the following 2nd order differential equation by Varition of parameters method. (D2 + 9) y =…

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Q: Which of the following can NOT be the linearly independent solutions of the differential equation y"…

A: Here 1, x are the solutions of ode. then their linear combinations also solution  but option C can’t…

Q: (1+y) ニ。 dx

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Q: 4- Solve the following differential equation. +@4 = 0 +

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Q: Show that y1 =- and y2 = Vx are solutions of the following differential equation 4x3у" + 7x?у' — ху…

A: According to the given information, it is required to show that the given y1 and y2 are the…

Q: To solve the differential equation 3 + ty = sint, y(0) =5 by the 4th order dt %3D Runge-Kutta…

A: standard form for Runge-Kutta method for solving first order differential equation is: dydx = f(t,…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.