3) Solve. dy e*y dx = e-y + e-2x-y (2y + 2) dy – (4x³ + 6x) dx = 0, y(0) = –3. dy + y = f(x), y(0) = 1, where dx 01 Graph the solution for this DE.

Q: 3.) (2xy³ + y4)dx - (2y - y³x)dy=0

A:

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A: Explained below

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A:

Q: Find what m equals given tyll-3kyloMyo the differential equation

A:

Q: Q/find (2xy? -2x² y4 xy2+2x)dx+(3X=y?e4yldyco an int egratinagfactor theequation and find the…

A: Given the first order differential equation           2xy3-2x3y3-4xy2+2x dx+3x2y2+4y dy=0 Find the…

Q: (D 3)²y = e*.. %3D

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

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A:

Q: (D² +1)y = sec x. %3D

A:

Q: (16x + 5y)dx + (3x + y)dy = 0 the curve to pass through the point (1,–3) %3D

A: The solution of the problem is given in the next steps.

Q: Determine the value/s of D if the graph of the equation x² + 4y² + Dx - 4y + 2 = 0 a single point;

A:

Q: d²y dx² 2 (2x-3)² Find y = O O d²y dx² d²y dx² d²y dx² O d'y dx² = = = = 12 (2x-3)¹ -12 (2x-3)4 48…

A: Given equation is y=22x-32. Find the value of d2ydx2. Here we use the differential formulae:…

Q: Example 12: Solve: (y - 2xy)dx= (x² – 2xy)dy %3D

A: Given that :  A defferential equation is given.  Now solve it

Q: 2²ye+v°-²dx dy dz 1 -1

A: We have to calculate the integral.

Q: Q3 The length of a curve from (0 ,-3) to ( 3,3)is given by Vx4 – 2x2 + 2 dx Which of the following…

A: Length of curve

Q: (3) (2x – 3y – 2)dx + (6(2x – 3y) – 2)dy = 0. - - %3D

A:

Q: 7. (2x + y + 1) dx + (4x + 2y + 7) dy = 0

A:

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A: Let's find.

Q: •1 fl-x r4-x²-y 16. x dz dy dx 0 Jo 3

A: See the attachment

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A:

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A: SOLUTION-

Q: (2x-3y+6)dx-(4x-6y+2)dy=0 in Linear two variables with POI

A: Here, the given differential equation is: (2x-3y+6)dx-(4x-6y+2)dy=0 The equation can be written as:…

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A:

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

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A: The given integral is: ∫-11∫-11∫-11x+y+zdydxdz

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A:

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A:

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A: Find your answer below