2. Solve the differential equation d²y dx2 +y = csc x 1 Add File

Q: Solve the linear differential equation dy 2y x2 %3D - dx 1+x2

A: Given differential equation is dydx - 2yx = x21+x2

Q: y" + 3y' + 2y = xe¬x

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Q: 1. Solve the differential equation d*y d³y d²y 14 - 4 – +7- dx+ dx³ dx²

A: To solve the differential equation.d4ydx4-4d3ydx3+7d2ydx2=14

Q: Solve the differential equation: d³y_d²y_dy + y = 0 dx3 dx² dx

A: Let us considre the differential equation L[D]=0 To solve the given differential equation  The…

Q: dy dx e5x+4y = e

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Q: Solve the differential equation: dx+(x-y+2)^2dy=0

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Q: 2. Solve the differential equation dy _ 2xy² + 1 %3D dx 2x²y

A: This is Bernoulli differential equation

Q: (y² - xy) dx + x² dy 10

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Q: Solve the Differential  Equation (d^4y/dx^4)-4(d^3y/dx^2)=14

A: We will solve the the differential equation.

Q: Q2/ solve the Differential Equation [ (2xy+3y²)dx = (x² + 2xy)dy ]

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Q: dy _ x²+xy dx x²+y?

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Q: Solve the linear differential equation 2y dy + d.x 4x

A: Given equation is non homogeneous first order linear ordinary differential equation.

Q: a. Solve the differential equation of (2x + y)dx – xdy = 0

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

Q: (c). Solve the differential equation dy 5x+4y by means of substitution dx 2x-y

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Q: Solve the differential equation d4y/dx4 +  10 d2y/dx2  + 9y = 0

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Q: 2(у — 4x?)dx + хӑу 3D 0

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Q: Solve the differential equation : (D2+5D+6)y=ex

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Q: dy V1-y² dx ? 1-x² |

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Q: Solve the differential equation Dy/dx = 2xy²+1/2x²y

A: Solve the differential equation Dy/dx = -2xy²+1/2x²y

Q: Solve the differential equation dx dy_хy+3x - у-3 ху — 2х + 4у —8 %3D |

A: We have to solve the differential equation. It is solved by taking the common factor and then…

Q: a?dx = x/x? – a? dy 2 2

A: Use variable  separable form

Q: d³y 1. dx³ dy + 6у — 0 dx dx²

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Q: Q9// Solve the differential equation dy x-= y + Vx² – y² dx

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Q: dy 3x²(1+y?)8/2 dx

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Q: Solve the differential equation. dy 9x?y2 dx

A: dydx=9x2y2 Formula ∫xndx=xn+1n+1+C

Q: Solve the differential equation: xy' = y+16/16x² + y² , y(1)=0

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Q: Solve the differential equation: dy/dx = = (y3 + y2 − y − 1)x2

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Q: 2. Solve the differential equation d?y + y = csc x dx²

A: The given differential equation is d2ydx2+y=csc x

Q: Solve the linear differential equation dy y = 2x2 - %3D dx x

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Q: Solve the differential equation d2y/dx2 −2dy/dx+4y = e^xsin^2(x /2)

A: The general solution will be the sum of the complementary solution and particular solution.   The…

Q: Solve the linear differential equation 2y dy + d.x = 4x

A: We have to find

Q: Solve the differential equation: xdy/dx + x2y = 3x2 , y(1)=6

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Q: a) Solve the differential equation: dy X - dx + (2x – 7)y = 8x7 -

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Q: Q4: Solve the differential equation: d²y 2 dy - 24- = 6e2x – 4e-2x dx dx²

A: Given: d2ydx2-2dydx=6e2x-4e-2x

Q: I. Solve the differential equation. (y-1ldv +x Cx+1)dy = o

A: Solution:

Q: Solve the differential equation y' + 2x"y= 6y'x*

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

Q: solve the differential equation (x^2 8)dy= 12xydx, y(0)=1

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Q: dx - 2xy dy 2e'y dy y2 ニ

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Q: (y2+yx)dr+x?dy= 0

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Q: dy 2 dx x2+4

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Q: dy 1. 2xy + 4x² dx

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Q: Solve the linear differential equation dy y 2x2 dx

A: This ODE can be solved as follows:

Q: Solve the differential equation. xy' + y = 47 x^1/2

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Q: Solve the differential equation. dy = 3x²y² dx -1 3 x + c +c for y # 0

A: We have to solve the differential equation

Q: Solve the Differential Equation d3y/dx 3 – 5d2y/dx2 + 25dy/dx – 125y = 0

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Q: 2. Find the general solution of the differential equation: d'y, d'y dr d'y fy dr3 dr dr

A: