Q1: solve the equation (y +x )dy + (x - y )dx = 0

Q: Solve the equation using homogeneous equation (x - 2y)dx + (2x + y)dy = 0.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 3x² (- x) dx – (-y) dy = 0 2х (1) Find the general solution for

A: The given differential equation is: 2xy3-xdx-3x2y4-ydy=0 Comparing this with: M dx + N dy = 0, we…

Q: Solve the equation dy, 3y + dx +2 = 3x, y(1) = 1.

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Q: Q3: Solve (x + y)dx - x dy = 0

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Q: Q2: solve the equation dx 2х Vy y * dy 3.

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Q: Q3: Solve d2y dy +22+y = e* dx2 dx

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Q: Solve : y dx - (x+2y*)dy =0.

A: The given differential equation is: y dx-x+2y2dy=0 To solve the given differential equation.

Q: Solve for the solution: d3y/dx3 - d2y/dx2 -dy/dx +y = 0

A: Solution is given below:

Q: Q2: solve the equation 3 dx 2х * dy y

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Q: dy + 3x2 + 2y3 = 0 dx e) Solve (6x + 1)y?

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Q: Solve the equation y (x + 1) dy/dx = x ( y2 + 1).

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Q: Solve [y-2]dx+[x+y]dy=0

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Q: Q2) Solve the D.E dy – (2x/1- y²)dx = %3D

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Q: Q1:- Solve dy = 2 dx 2 + y 1+x + y/ 2.

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Q2) Solve the D.E dy - (2x/1-y2)dx 0 %3D

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Q: Solve the equation xy^3 dx + (y + 1)e^(-x) dy = 0.

A: Given:  xy3dx+(y+1)e-xdy=0xy3dx+(y+1)e-xdy=0(y+1)e-xdy=-xy3dxDividing equation on both sides by…

Q: B) Solve the equation (x+y-1)³ dx+4(x-2) dy=0.

A: Solution

Q: (x² + y²)dx – xy dy = 0

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Q: Solve the equation (6x+y2)dx+y(2x−3y)dy=0.

A: Solve the differential equation 6x+y2dx+y2x-3ydy=0

Q: d?y dy - 3- dx Determine the solution of x dx2

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Q: Q2/ solve; dy A: dx y **= e* + y3 x+1

A: Consider the given differential equation as below: dydx-y(x+1)=exy3 Here the objective is to find…

Q: (x + 2y – 1)dx + 3(x + 2y)dy = 0

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Q: Solve the equation 3(y+1)dx-(x+y+3)dy=0

A: Variable separable form of differential equation: dydx=f(x)g(y) Apply variable separable to given…

Q: Q9// find the general solution (sec'x + (cotx)y)dx + (Insinx)dy = 0

A: Using the basic properties of trigonometry and expanding the expression we can find the solution to…

Q: Q2) Solve the D.E dy + (xy- xy?)dx = 0 %3D

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Q: Solve the diffrencial equation.  4x3 y4 - Lny+(y/x)/-4x4 y3 + (x/y)-Lnx = dy/dx

A: Mdx + Ndy =0if ∂M∂y =∂N∂xIt's exact diffrential equation and then solution :∫y constMdx + ∫(terms of…

Q: Q9// find the general solution (sec°x + (cotx)y)dx + (Insinx)dy = 0

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Q: determine the general solution of the equation. x(y'-x)dx-y(y'+x)dy=0

A: we will integrate this equation and find the solution of the equation

Q: Solve the particular solution of the equation dy/dx = 3x² - 2x, when y=2 and x=-1.

A: We can solve the given problem as follows:

Q: Solve the equation dy y xy-3 dx

A: In this question we will use basic of solution of differential equation.  If differential equation…

Q: Solve the equation 3(y+1)dx-(x+y +3)dy =0.

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Q: Solve : Y dx -(x - 2y² )dy= 0

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Q: Q9// find the general solution (sec³x + (cotx)y)dx + (Insinx)dy = 0

A: Answer and explanation is given below...

Q: Q11) The solution of (1 – y² )dx + (1+ x² )dy = 0 is: %3D

A: 1-y2dx+1+x2dy=0 On simplification, we get ⇒1-y2dx=-1+x2dy⇒dx1+x2=-dy1-y2

Q: d*y dy 4. = x? + e". - dx4 dx2

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Q: Solve the IVP: - 8x + 7y – 7x + 2y dy where y(2) = 9 dx Solve your solution equation explicitly for…

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with  here we have

Q: r1-x 2–2z 31. dy dz dx

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Q: Solve: y(x) dy dx = = (8x² - 7x + 6) (y-7), where y(0) = 11.

A: We will solve the given differetial equation by variable separation method.

Q: Solve the equation. (3xy)dx + (y- 3x®)dy = 0 -

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Q: Solve the IVP: dy 12x + 3y where y(3) = 1 dx -3x + 2y Solve your solution equation explicitly for y…

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Q: d²y dy Solve 3 dx2 - y = 0 dx

A: our objective is to solve the differential equation.

Q: Q1- d?y Classify and Solve; dy = 0 dx dx2

A: Given: Differential equation is d2 yd x2 +dydx= 0 To classify and solve above differential equation…

Q: Q2: Solve: dy_ (1- y)x².Inx yf-1 dx 03-

A: NOTE: Hi! Thank you for your question. As per the honor code we'll answer the first question since…

Q: Q2) Solve the D.E dy – (2x/1– y²)dx = 0

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Q: Obtain the solution (D³ - 2D + D- 2)y = 0 d'y/dx? – dy/dx – 6 = 0 ; when x=0, y=0 and when x=1, y =…

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Q: Solve the equation 3(y+1)dx-(x+y+3)dy =0.

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Q: Q5) Solve x(I+e )dx+(x² + y²ye* dy=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.