Obtain the particular solution for the following set of differential equa dy = (4x2 + 7xy +2y²)dx; when x=2, y=0

Q: Find the particular solution of the following second order differential equation dy dy -2-15y =…

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Q: For exact differential equation of the form Mdx + Ndy =0 %3D OA ay %3D В. Эх dy 0: D. ay

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Q: Consider the following simultaneous linear differential equations. Un even dx dy = -x + 2y, = 3y. dt…

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Q: Show that y = e¬4x + e-3x satisfies the following second order differential equation: %3D d²y dy + 7…

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Q: Find the general soiution of the given differential equation using Method of Undetermined…

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Q: メy+(x+1)y= 3xte 2. メ

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Q: Find the general solution of the following differential equation (where primes denote derivatives…

A: The given differential equation is y''+8y'+16y=0.

Q: (cos x+xcost)dt + (sin t-t sin x)dx = 0 Ans. t cos x+x sint = c

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Q: What will be the Integrating Factor for the following differential equation if compaired dy + x?y=2x…

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Q: solution of the following nonhomogeneous differential y" – 2y' +y = 4x² + e* %3D ned coefficients…

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Q: Find the differential equation of the following function (x – y + 2)dx + 3dy = 0 a. y = x + 5 + Ce…

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Q: (3xy2 - y2)dx + (2x²y – 2y)dy = 0

A: It is a separable differential equation and explanation of the answer is as follows

Q: Find the general solution of the following differential equations. 3. (cos x cos y – cotx)dx – sin x…

A: compare given DE with Mdx + Ndy = 0  and then solve

Q: Given the ordinary differential equation dy (e* +/2y) = 2x, y(1) = 3, h= 0.2 dx %3D By using RK4…

A: The given ordinary differential equation is (ex+2y)dydx=2x where y(1)=3h=0.2

Q: Find the general solution of the following differential equations using Variable Separable. 3. удx +…

A: 3.ydx+(1+x2) arctanx dy=04.ex-ydx+ey-xdy=0

Q: Find a general solution to the given differential equ y"+5y'+ 6y = 0

A: topic - differential equation

Q: Which of the following is the general solution to the differential equa · (x – /x² + y² )dy = 0 ? dx…

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Q: Obtain the general / particular solution for the following differential equation.…

A: (xy+x)dx=(x2y2+x2+y2+1)dyx(y+1)dx=(x2(y2+1)+1(y2+1))dyx(y+1)dx=(x2+1)(y2+1))dyx(x2+1)dx=(y2+1))(y+1)…

Q: Show that the particular solution of the differential equation d'y dx? dy -3 +2y = 20 sin2x dx is y…

A: We have to solve

Q: 6. What is the general solution of the following differential a²ycdy d²y dx2 dy equation -5 +4y=0)(4…

A: Given: differential equations are, d2ydx2-5dydx+4y=04d2ydx2+6dydx+2y=0 To be find: solution of given…

Q: Consider the following differential equation: (12xy3+32ysen(xy)cos(xy))dx+N(x, y)dy=0 Calculate N…

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Q: Show that the function y = x²+cx is a solution of the following differential equation dy x = x' + y.…

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

Q: Consider the differential equation (x² +1)- dy + 4.xy = de 1 with x²+1 y(0) = 1, then y(3) =

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Q: 1. The differential equation (3x +2xy +4y dx+(r' +8ry +18ydy = 0 is exact because %3D OM ON

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Q: Obtain the particular solution for the following set of differential equations. (y? + y)dx + (x +…

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Q: ydx -(x +3y)dy = 0 Ans. x = 6y In

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Q: Find the particular solution of the following differential equations with the given condition. 3) dy…

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Q: Solve the ff. ordinary differential equa d²y dx² 1 dy x dx + y = 1

A: Here we have to solve the differential equation   d2ydx2-1xdydx+yx2=1 .

Q: х*у dy — ху^dx + Зу dy — 2x dx %3D 0

A: NOTE: Refresh your page if you can't see any equations. .

Q: .x?dy = (4x2 + 7xy +2y²)dx; when x=2, y=0

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Q: Find the differential equation of the following function (х — у + 2)dx + 3dy —D 0 a. y = x + 5 + Cea…

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Q: Find the solution of the following Differential Equations 5) sinh(x)cos(y)dx = cosh(x)sin(y)dy 7)…

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Q: 3y?dx + (2y In 5x b) + 3 sin y) dy = 0 x+3 x2+3x

A: Differential equation

Q: Find the general solution of the following linear differential equation:…

A: The given differential equation,     2d4ydx4-3d3ydx3-2d2ydx2=0

Q: What is the type of the following differential equation? y’ + (2xy+y)/2 = 1/e2x   Seperable Exact…

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Q: Find the general solution of the following differential equation. r*dy + (25x^y – 5y^/® In x)dx = 0

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Q: 1. y(4x + y) dx - 2(x2 - y) dy = 0 %3D

A: We have y4x+ydx-2x2-ydy=0 This can be written as 4xy+y2dx+-2x2+2ydy=0 A differential equation of the…

Q: . Select the correct type for the following differential equation x(4y – 1)dx + (x² + 1)dy = 0…

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Q: Consider the following first order differential equation dy dr -- 4y = 2ry What is the asymptotic…

A: The given differential equation is, dydx - 4y =2xy2         ............1 Divide equation (1) by y2…

Q: Given the differential equation xy³dx + (x²y² + 1) dy = 0, What is SN dx ?

A: We are asked to find the δNδx

Q: The appropriate integrating factor for the following differential equation (3xy + y²)dx + (x² +…

A: The given differential equation is 3xy+y2dx+x2+xydy=0....(1) We will find the integrating factor of…

Q: Given the following differential equation Diberi persamaan pembezaan berikut dy -= 3y +x dx Express…

A: Given differential equation is a linear differential equation , we will find solution by applying…

Q: x(x² +y* )° (ydx – xdy)+ y dy = 0 Ans. (x +y)' = 6y° In

A: Put x/y=p and solve it.

Q: Determine the form of the general solution to the following differential equatic d. y3) + y" + y' +…

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Q: Vxydy = x?dx Ans: 5yz – 3xZ = c

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Q: Solve the following differential equation with the boundary condition y(0) = 0, 3/(0) = 0 dy 2 (y –…

A: Given that y''-2(y-x)y'=2(x-y),  y(0)=0,y'(0)=0 Now take  t=x-ydtdx=1-dydxdydx=1-dtdxd2ydx2=-d2tdx2…

Q: Consider the following autonomous first-order differential equation. dy/dx = y2(36 − y2)

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Q: Given the differential equation (1- zy)dx + + a?(1 – ay) dy = 0, What is N %3D Sz

A: See the details solution in below

Q: Obtain the differential equation of the following by eliminating the arbitrary constant(s): 1. xy+ x…

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Q: Find the integrating factor for the following differential equation dy (2x+3)-2y= (2x+3)3 dx O a.…

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