2. dx + 2x dy/y 2x2 y2 dy

Q: Solve the differential equations using the substitution suggested by the equation. (2x + y)dx -3(2x…

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Q: Solve the differential equation dydx = 5cos(x)y

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Q: Determine the solutions of this differential equation where steps are thorough and explained dy/dx=…

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Q: Which is the correct auxiliary equation for the d²y dy differential equation =2-? dx dx 2

A: Given differential equation is d2ydx2=2dydx

Q: (3ху2 — у?)dx + (2х?у - 2у)dy - 0

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Q: The solution of the differential equation y" – 2y' = x + sinx %3D

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Q: dx - y2-6y+13 dy = 0

A: Differential equation is an equation which consists of differential Coefficient in combination with…

Q: Solve the differential equation by variation of parameters. 1 y" + 3y' + 2y 5 + ex y(x) =

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Q: Solve the differential equation 5(duldx)+3(du/dy)=2u using the method of separation of variables if…

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Q: y''' + y'' +4y' + 4y = sin(2t)

A: Y(t) =complementary function+particular integral

Q: Solve the differential equations using the substitution suggested by the equation. (x + 2y - 1)dx +…

A: Given the differential equation is (x + 2y - 1) dx + (2x + 4y - 3) dy = 0; when x = 2 and y = -1.

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: Solve the differential equation 2√xy dy/dx = 1

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Q: Solve the differential equation below: (3x²+y²)dy + (x²+3y³)dx=0

A: Given:     (3x2+y2)dy + (x2+3y2)dx = 0

Q: Solve the differential equation 1.) dy = (y²xe^3-3x²y)dx

A: Please see the below picture for detailed solution.

Q: Determine the solution of the differential equation by separating the variable dy ,3x-2y + x²e-2y dx

A: given differential equation dydx=e3x-2y+x2e-2y claim- solve the differential equation by separating…

Q: Solve the differential equation below. (2xCosy+3x?y) dx+ (x³-x²Siny-y) dy=0

A: The solution is given as

Q: (2y³ + 4) dx = (6-- 2ay') dy 2ху?) dy

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Q: 4. xy = x cos( y/x)+y

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Q: 2ху+3у? dy 7. dx x2+2xy

A: Solution of these differential equation  Using y= vx

Q: How can I solve this differential equation? (x^2+1)(dy)/(dx)+y^2=-1, y(0)=1

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Q: Solve the differential equation 3y' = x + y by making the change of variable u = x + y.

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Q: FIND THE GIVEN DIFFERENTIAL EQUATION Non Exact Eguation (xy + 1) dx tx (* + 4y - 2) dy - 0

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Q: Solve the differential equation 4y® ,6 dy 7xe-y' sin x? = 0 dx -

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Q: dy ху- = x³e-*sin x +y? dx

A: Solution of given differential equation can be find as shown below

Q: solve the equation using differential equation linear in x and y: (2x-3y-5)dx + (3x-y-2)dy = 0;…

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Q: Solve the differential equation using linear coefficient  (5x+2y+1)dx + (2x+y+1)dy =0

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Q: The degree and order of the differential equation 1+ is = dy dz о 12, 1 O 1, 15 O 15, 1 O 3, 1

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Q: Find the general solution to differential equations 2 #) (-2xy) dx + (Siny-x²) dy +³

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Q: Solve the differential equation dy/dx = ex-y + ex + e-y + 1

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Q: Solve the differential equation. 3. (6x + y^2) dx + y (2x – 3y) dy = 0

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Q: Solve the differential equation by variation of parameters. 1 2y = 2 + ex y" + 3y + 2y =

A: y'' +3y' +2y=12+exA second order linear, non-homogeneous ODE has the form of   ay''+by'+cy=gxThe…

Q: y =Cjx +Cze* %3D

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Q: Solve the differential equation using method of inspection: ( x3y3 + 1 ) dx + x4y2 dy = 0

A: Given that ( x3y3 + 1 ) dx + x4y2 dy = 0

Q: dy 1. da + Зу 3D 2ге 2xe-3r du

A: Using differential equations.

Q: Solve the differential equation (1+2e ))dx+2eY (1 –4)dy = ( y

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Q: 1. (x² + 1)dx + x²y²dy = 0 %3D

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Q: solve the differential equation  (y+siny)y' =x+x^3

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Q: The differential equation formed by eliminating arbitrary constants a and b of y = 9 a sin z + b

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Q: Solve the differential equation dy/dx =(3x^2 - sin⁡ y)/x cos y.

A: By using exact diff equation

Q: 3. (cosy + ycosx)dx + (sinx – xsiny)dy = 0

A: Given: cosy +ycosxdx +sinx-xsinydy =0 ⇒cosydx +ycosxdx +sinxdy-xsinydy =0

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: = Form the differential equation by eliminating arbitrary constants : y = ax +0x , .3

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Q: Solve the differential equation 2√xy dy/dx = 1, x, y > 0

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Q: Solve the differential equation. (2xCosy+3x²y)dx+(x³-x²Siny-y)dy =0

A: To solve the following differential equation  (2x.cosy + 3x2y)dx + (x3 - x2. siny-y) dy = 0

Q: Solve the differential equation dy – y² sin(2x)sin²(x) = 0, y(0) = 1 %3D %3D - dx

A: Given that: dydx-y2sin(2x)sin2(x)=0, y(0)=1

Q: The differential equation (2x' - xy - 2y+3 dx- (x²y+2xdy = 0 is exact because OM ON

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Q: Is the differential equation exact or non-exact. 6x^2y dx+4x^3y dy=0

A: Exact or non exact differential equation

Q: Solve the differential equation by an appropriate method. d³y, dy dx3 tanx dx

A: Find the complementary function and particular Integral of the given equation. Its general solution…