dx -x+3у dt dy -3х + 5у dt

Q: (5x2 – y) dx + x dy = 0 (5x2 – y2) dx + 2ydy = 0 %3D

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Q: Solve the differential equation dz/dt + 3et+z = 0

A: Use variable separable method for solving differential equation

Q: dP VPt. P(1) = 2 dt %3D

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Q: Solve the differential equation with initial condition dy 7y²x3 dx %3D У (2) %3D 3

A: The main objective of the question is to establish relation between x and y.

Q: Find the general solution of the differential equation xy' + x2 + xy − y = 0.

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Q: Solve the differential equation. dz + 4et + z = 0 dt

A: This equation can be solved by variable separable form.

Q: Find the general solution of the second order differential equation below: dx d) dt2 + 6x = 0 dt

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Q: Find the solution of the differential equation that satisfies the given initial condition dP = 4√…

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Q: Find the general solution of the differential equation 2 = -5(y – 3). dy %D dt

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Q: Find the general solution of the differential equation.

A: Here we have to find the general solution of the differential equation;  dydx=x4-x2…

Q: Find the order differential equation of ddy] 6 dy dy dy +7. + 6- 3. +7 = 0 dx3 dx2 dx

A: Given that a differential equation and find the order of this differential equation. We know that…

Q: Find the general solution to the differential equation У(2х — у + 1)dx+ x(3х — 4у + 3)dy %3D 0 X ||…

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Q: Find the general solution of the differential equation 2(2x2+y2)dx - xydy = 0. Let x= vy.

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Q: Solve the differential equation by using variation of parameters: d'y dy 3 dx 3x + 2y = e dx .A 3x y…

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Q: Find the solution of the differential equation that satisfies the given initial condition. dy 7xey,…

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Q: Solve the differential equation. dz/dt + et + z = 0

A: Given : dzdt+et+z=0

Q: Find the solution of the differential equation that satisfies the given initial condition dy 9xeY,…

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Q: Find the general solution to the differential equation у(2х — у + 1)dx + x(3x — 4y + 3)dy %3D 0

A: We will find out the required solution.

Q: Find the general solution of the differential equation: dx/dt = 5x - 3. (1/5)[In(5x + 3)]= t + c O…

A: Given that: dxdt=5x-3

Q: 5. (-3x + y – 1)dx + (x + y + 3)dy = 0

A: Given , differential equation. (-3x+y-1)dx+(x+y+3)dy=0 It is of the form M dx + N dy=0 Now we need…

Q: x In x = y(1 + 3 + y² ) y', y(1) = 1 %3D

A: Let us consider the differential equation of the form dydx=f(x)g(y) Then to solve the equation using…

Q: Find the solution of the differential equation that satisfies the given initial condition dy/dx =…

A: Given, dydx=5xey y=0 when x=0

Q: (3x+y-5)dx+ (3x+2y-7)dy = 0

A: Given: 3x+y-5dx +3x+2y-7dy = 0 dydx= -3x+y-53x+2y-7

Q: Find the solution of the differential equation that satisfiesthe given initial condition.

A: Given information: The differential equation is dPdt=Pt. Calculation: Solve the given differential…

Q: Find the general solution for the differential equation system: dx/dt = 4x - 5y dy/dt = 5x -4y

A: Given dxdt = 4x-5y   ---(1)and  dydt =  5x-4y    ----(2)Therefore, dividing (2) from (1)dydx =…

Q: У (х + 1) dy dx хз + x2 -2х У(1.1) — 0.5

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Q: solve the Differential Equation  dy/dx +4y = 3xe^-3x t dx/dt+3x=3t^4, x(3)=1

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Q: Find the general solution for the differential equation: (2xy²-2y)dx+(3x²y-4x)dy=0

A: Given :(2xy2-2y)dx+(3x2y-4x)dy=0

Q: Find the solution of the differential equation that satisfies the given initial condition. dy 3XEY,…

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Q: 2. (xy + x)dx = (x²y² + x² + y² + 1)dy

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Q: Find the solution of the differential equation that satisfies the given initial condition. dP 8V Pt,…

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Q: dv + 25v dt = 9.8 dt

A: Using integrating factor

Q: Find the general solution to the differential equation x(x+y)dy-y^2dx=0

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Q: Find the solution of the differential equation that satisfies the given initial condition. dP 5V Pt,…

A: Given query is to solve the initial condition differential equation.

Q: Solve the first order linear differential equation:  xy'+2y=-x3+x         ,          y(1)=2

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Q: 1. (x² + 1)dx + x²y²dy = 0 %3D

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Q: Find the solution of the differential equation that satisfies the given initial condition. x In(x) =…

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Q: dx x² + xy + y² – y²" dy

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Q: 2. (xy +x)dx = (x²y² + x² + y² + 1)dy

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Q: Evaluate and solve the linear differential equation. (d2x)/(dt2) + 2 (dx)/(dt) + 5x = 8e-t, when t…

A: Given differential equation can be writen as, (D2+2D+5)x=8e-t.....(i)d=ddt,…

Q: (2xy4e + 2xy³ + y)dx + (x²y4ev - x²y²-3x)dy = 0

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Q: Find the general solution to the differential equation x²y" + xy' + y = 0, x > 0

A: Note that the general form of an Euler equation is given as ax2y''+ bxy' + cy = 0. Such type of…

Q: Find the general solution of the differential equation dy - 2t(y² + 9) dt

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Q: Find the solution of the differential equation that satisfies the given initial condition. dy = X,…

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Q: Find the solution of the differential equation that satisfies the given initial condition. dy/dx=…

A: dydx =7xey       ;  y(0)=0                                                    (1)   Formulae used:…

Q: Find a solution to the differential equation u′(t)=u(t).

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Q: a² dx = x Jxz-0²dy %3D

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Q: Find a linearization of the differential equation: d^2x/dt^2 + xe^(0.01x) = 0

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Q: dx x2-y2-xy 0 ху dy

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Q: Find the solution of the differential equation that satisfies the given initial condition. dy xey,…

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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.