Q/Find the differential equations 1 2 3 dx + 2/x dy = dy = 2x²y²dy 4 2 ✓ + ² y = x/2² y y xdy - ydx + x³dx = 0

Q: Q3/ Solve the following equations: 1- х(2у — 3)dx + (x2 + 1)dy %3D0 dy 2- dx 4y x (у-3) 3. y' = 2xy…

A: Note that there are so many ways to write the final answer of the differential equation.

Q: he (4x' +6xy' )dx + (9x’y' +3)dy = 0 equation ² - 3x²y' +3y =e - Solve the so *+ 3x°y +3y=e -t…

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Q: CALCULATE USING A HOMOGENOUS EQUATION. GIVE THE GENERAL AND PARTICULAR SOLUTION. SOLVE NUMBER 3 THE…

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Q: Solve using homogeneous differential equations

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Q: Q1 Use the hypothesis V= y² and U=X To Solve the differential. equation (2x²+²-7) x dx (3X² +…

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Q: The complementary function of the differential equation d²y dx² 2 + 3x +y= dy dx 1 is (1-x)²

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Q: 2x y" +5xy' + y = 3x +2 Answer y(x) = +은+2+

A: The given equation is of the form ax2y''+bxy'+cy=g(x) The solution to the above equation is given by…

Q: = 11. Solve x²yd²y + x dx² .2 dy dx - y)²³-3y² = 0.

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Q: Find the general solution of the D.E (y^2 – 2xy + 6x)dx – (x^2 – 2xy + 2)dy = 0 Show your solutions…

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Q: dy/dx=(x+2y-3)/(2x+y-3)

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Q: 2. Solve x². dy + 2xy = 4x³ using an + 2xy = 4x³ using an Integrating Factor. dx

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Q: 2x + 2xy2 y + 2x²y dy dx ||

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Q: Solve zx+zzy= 2x, z(0, y) = y

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Q: Find the general solution of the D.E. (y^2 - 2xy + 6x) dx = (x^2 - 2xy + 2) dy = 0 Show your…

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Q: Find the differential of the function z=2x'y %3D

A: If z is a function of two variables defined by z=f(x,y) then the differential dz or total…

Q: Find the general solution of the equation

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Q: (9) Solve the following diserental equation dy dx 2 3+y 3.x 3-y = (9x - y²x), y(0) = 0 Answer: = e

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Q: 2. Find the general solution for Differential Equation: (x² - 1)y³dx + x² dy = 0

A: Given : x2-1y3dx+x2dy=0 To Find : General Solution of differential equation

Q: 1.² T 20 40x-x² 9√x²+y2 dydx=

A: We have to solve ∫020∫x40-x29x2+y2dydxThe region bounded by0≤x≤20x≤y≤40x-x2⇒x=y and y=40x-x2squaring…