H.. Ext (x-1)dx +xdy=0 Ex² ( 2 √xy_y) dx-xdy=. 3 EX 2 27 2x² dy = x² + y² ax ५ +₁ Exh x dy-y dx Find the general solution to differential equations

Q: Tell whether x = C1et + C2 cos 2t + C3 sin 2t is a solution to the differential equation x''' - x''…

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Q: I Solve the differential equatons when X= (x+y) dx +(2xy+xh 3x) dy=o 1. Y= 2

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Q: d²y Solve the particular solution for = 2 – 4x when points (0, 2) and (-1, 3) are on the dx2 curve.

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Q: Find dy/dx for each of the following. Do not simplify your answers. 3 (a) y = 3* – 3x7 + cot(3x³ +…

A: Part(a) Given

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A: The given differential equation is:cosx+3x2ydx+x3-y2dy=0         ..........(1)which is of the form…

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Q: Verify the exactness of the given function (1+ex/y)dx+ex/y(1-x/y)dy=0 and then write the complete…

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Q: dy Find a solution to = xy + 6x + 4y + 24. If necessary, use k to denote an dx arbitrary constant.…

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Q: 4. (6 points) Using separation of variables, solve the differ- ential equation, (1+7)dy dx y Use C…

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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: Solve for DE (x + 2y - 3)dx - (2x + 4y - 9) dy = 0

A: In this question,  we solve given DE by substitution methode i. e.  We put some terms in the form of…

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: Solve y (1 + 2 x y) dx + x (1 – 2 x y)dy = 0 using the substitution Z = 2 x y

A: Given that y (1 + 2 x y) dx + x (1 – 2 x y)dy = 0  Therefore, we have  y (1 + 2 x y) dx + x (1 – 2 x…

Q: x^2+3y^2+4y=19; dx/dt=7 when x=2 and y=-3; find dy/dt dy/dt= simplify the answer…

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Q: Find the solution. dy x3- 2y dx xy= 3x3 2y2 +

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Q: Find d2y/dx2 for the equation x=x3y2-3y3

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Q: solve (x + y − 1)dx + (y − x − 5)dy = 0.

A: According to question, Given differential equation, (x + y − 1)dx + (y − x − 5)dy = 0.

Q: Solve (yz + хуz) dx + (zx + хуz) dy + (ху + хуz) dz =

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Q: x (х+1) dw solve for dx W 2х-1

A: The Quotient rule: fg'=f'·g-g'·fg2 The product rule: f·g'=f'·g+f·g' Given: w=xx+12x-1

Q: dy Solve dx = xy using Runge-Kutta method for x = 0-2 given that v (0) I taking %3D h = 0-2.

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Q: IV. 4x + 2 dx x² + x + 5 V. 2x – 1 dx x² – 7x + 10 VI. | sin(3x) cos(5x) dr

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Q: I241 Solve the DE. (3x²y- xy)dx+(2r'y² +x*y*)dy = 0.

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Q: 3- Solution of the following equation * dy 2 d?x = 2(3+ x2 - xy)/x³ dx

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Q: Describe two ways to find the general solution of (dy/dx) + 3xy = x. Verify that each method gives…

A: Given: The differential equation is dydx+3xy=x We have to find the general solution by two ways.

Q: Find the second derivative. 3 y = 8x 2 - 4x²³² + 3e*

A: Given a function,y=8x3−4x2+3exTo Find: the second derivative.