Q4 A) Solve the following separable differential equation dx = x2 - 2x + 1 dt

Q: solve the differential equation using variation of parameters: 2x2y′′ + 5xy′ + 9y = -x2 - 2x. only…

A: The given problem is to find the solution for the given differential equation by using the variation…

Q: Solve the differential equation: dy/dx = 2 + sqrt(y -2x + 3)

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Q: Form the differential equation for the function y = acos(2x + b)

A: By finding first and second derivatives of function we form the required differential equation as…

Q: 2x dy 2х. -y = x² - x; y(4) =2 dx

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Q: Solve this differential equation: dy/dx=y/x+√(1+y/x ) ; when x=1,y=8

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Q: Find the differential equation given the general solution: y = cer + Czex + 3x

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Q: dy 1. tanxsin2y = sin²x + cos²y - dx

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Q: Determine the order of the differential equation + x²y = xex. dx A. 0 B. 1 C. 2 D. 3

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Q: B6. Solve the differential equation: (D3+ D2 + 9D r 9)y = 2e* +e-2x %3D

A: We solve the differentia equation by the theory of constant coefficient

Q: dy 2х-5у+3 %3D dx 2x+4у-6 II

A: Given: dydx=2x-5y+32x+4y-6

Q: Solve the differential equation: (2xy-sinx)dx+(x² - cosy)dy=0.

A: The given differential equation is  (2xy-sinx)dx+(x2-cosy)dy=0 It is of the form , Mdx+Ndy=0 . This…

Q: Find the linear differential equation that is satisfied by y=xe-xsin3x+2e-xcos3x.

A: Let's find linear differential equation.

Q: d³u 2 dr5 d*u - 7- dr4 + 12 d³u dr3

A: The differential equation is given 2d5udr5-7d4udr4+12d3udr3+8d2udr2=0. Here ,s=ddr then equation…

Q: From the differential equation dy = x2 dx, what is the equation of y in terms of x as the curve…

A: Given: dy=x2dx

Q: 4. t dv + (v – v² ln t)dt = 0

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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.