(2x3 – xy – 2y + 3) dx – (x²y + 2x) dy =0 - - -

Q: The general solution to a differential equation is given by y = c1e^(3x) + c2x. Suppose we then…

A: Solution:

Q: Give the general solution of the differential equations.   y" - y' - 6y = sin 2t

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Q: without solving the undetermined coefficients, the correct form of a particular solution of the…

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Q: The particular solution of the differential equation x^2 dx - (y+1) dy = 0 if y(0)=1 is -:

A: The given differential equation is x2dx-(y+1)dy=0, y(0)=1. Solve the given differential equation to…

Q: The solution to the differential equation (5x² – 3)dy + xy² dx = 0 - %3D

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Q: by Frobenious Method Solve the differential equation: 2xy" + (x+ 1)y' + 3y = 0 at the point x = 0

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Q: The universal solution of the differential equation below may be found by substituting y=zx. Hence…

A: Given that                       x2 dydx = y (x+y)   hence we have to find the solution of d.E

Q: What is the general solution to the differential equation (2x- 2y- 3)dx (2x*- 4y-2)dy?

A: We have to solve the given 1st order differential equation.

Q: Find general solutions of the differential equation  2xyy'=x^2+2y^2

A: To solve:

Q: Find the particular solution to the differential equation. 4y2 dx = 9x2 dy   when x=4 and y=-3

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Q: Solve the differential equation with the appropriate method. Finalize answer equated to y.…

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Q: The general solution of the differential equation dz +6y sin 4z is

A: We need to solve the differential equation d2ydx2+6y=sin 4x The solution of this differential…

Q: A solution for the differential equation is y = Pe-3x/2 + Qe-x/2.

A: Here P and Q are two Arbitary constant ,so the heighest order of the differential equation is 2.

Q: Obtain the differential equations satisfied by the given puiiicular 3. y = e5x - 3x - x2 4. y = e3x…

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

Q: Determine the solution to the differential equation given by: (2xy-9x2)dx+(2y+x2+1)dy=0

A: Here,      2xy-9x2dx+2y+x2+1dy=0⇒2xy-9x2+2y+x2+1dydx=0⇒2xy-9x2+2y+x2+1y' =0Here, ∂Mx, y∂y=∂Nx, y∂x.…

Q: by Frobenious Method Solve the differential equation: 2xy" + (x+ 1)y'+ 3y 0 at the point x 0

A: The given differential equation is…

Q: Find the general solution of the differential equation, (5e-3 sin (3x)) dx + (5xe-y + 2 cos(3x)) dy…

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Q: Find the particular solution of the differential equation with the initial condition given below.…

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Q: Without solving for the undetermined coefficients, the correct form of a particular solution of the…

A: We have differential equation,   We have to guess particular solution (yp ) using undermined…

Q: 2 x (1 + y²) dx -y (1 + 2x²) dy = 0

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Q: 5, a) Solve the differential equation dy x+2y-1 %3D dx 2x-y+3

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Q: Give a general solution of the differential equation y"+4y=-3 sin 2t.

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Q: 4(3х + у — 2)dx — (3х + у)dy %3D 0 -

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Q: Find the general solution of the differential equation: 3ydx = (3x + 1)dy

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Q: 3. (х - у)ӑх + (х — у+2)dy %3D0 (Homogenous) 4. 2(2ху + 4y — 3)dx + (х + 2)?dy 3 0 (Non-exact)

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

Q: The given differential equation has infinitely many solutions xy' = y+1 where y(0) = -1. True False

A: Given differential equation is xy' = y+1

Q: What is the general solution to the differential equation (3x+2y+4)dx+(3x+2y-3)dy=0?

A: An equation which involves the derivative or differential coefficient is called differential…

Q: Find the particular solution of the curve which passes through the point (1,2) if the equation of…

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Q: Determine the form of a particular solution yp(x) for the differential equation:   (c) y'' + 4y =…

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Q: 1) x+ 2y – 4+ (2x + 3y – 7)y' = 0 %3D

A: Given differential equation is   x+2y-4+(2x+3y-7)y'=0 rewriting,  x+2y-4+(2x+3y-7)dydx=0…

Q: Find general solutions of the differential equation          x^3+3y-xy'=0.

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Q: The general solution of the differential equation 2x(y + 1) dx — у dy is:

A: Given the differential equation: Now,

Q: Solve the differential equation = 8x³(y² + 1) with initial condition y(1) = dx V3. Your answer…

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Q: Solve the non-homogeneous differential equation of 6y"-y'-y=1-x-x?

A: Given differential equation is  6y"-y'-y=1-x-x2

Q: Solve the differential equation: (1+x3)dy - x2ydx=0; y(1)=2

A: Solve the differential equation: (1+x3)dy - x2ydx=0; y(1)=2

Q: Prove that the differential equation below can be solved using two different methods. Then, find the…

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Q: Find general solutions of the differential equation      2x^2y+x^3y'=1

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Q: the general solution of the differential equation (2xy- sec2x) dx + (x  + 2y) dy = 0

A: First, find the exact form of the equation to which it belongs.

Q: Solve the differential equation = 4x – 2y by using the substitution u = Ax + By +C. dx The resulting…

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Q: A solution for the differential equation is y = Pe-3x/2 + Qe–x/2, %3D

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Q: Find general solutions of the differential equation  x^3y'=x^2y-y^3

A: the given equation is x3y'=x2y-y3 divide the equation by x3 y'=1xy-1x3y3            ...... (1)…

Q: particular solution to the differential equation \frac{dy}{dx}=(x−3)y with the initial condition…

A: Given differential equation  dydx=(x-3)y also y(0)=2.

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

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Q: The complementary solution for following differential equation d3x + 5 d2x +26 dt2 dx dt3 150х 600t…

A: In the question it is asked to calculate the complementary solution of the function given below.…

Q: The solution for the differential equation dy dx tan-¹x 1 1+x² (et - y is

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Q: What is the General and Particular solution of the Differential Equation 2x(y+1)dx-ydy=0? Where x=0…

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Q: Find general solutions of the differential equation  (x^2-y^2)y'=2xy

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Q: Find the first five non-zero terms of the solution of the differential equation 2" + xz" + z = x² +…

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Q: The solution of the exact differential equation (ycosx + 2xe") + (sinx + x²ev – 1)y' = 0 is:

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