Part I Solve for the general solution of the following equations: (x* +3y)dx – xdy = 0 а.

Q: 2x(y+1)dx-ydy=0

A: We have,2x(y+1)dx-ydy=0 seperate x and y terms2xdx = yy+1dyIntegrate both sides∫2xdx =∫ yy+1dy =…

Q: SOLVE USING BERNOULLI'S EQUATION dy/dx=y-x(y^3)(e^(-2x))

A: Differntial equation

Q: Q4) Solve the D.E = *-**y²+2x* ya dx

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Q: solve using the appropriate method.

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Q: Solve the exact equation: (2x + ye" )dx +(1+ xe" ) dy = 0. ху l+xe°

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Q: Question 2: Find an integration factor (12x*y + 24x²y2)dx + (9x +32x*y+4y)dy = 0 and Solve the…

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Q: Solve (D2+2D+2)y=e-x+sin 2x

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Q: Part I Solve for the general solution of the following equations: dy x'y' + x(1+ y*) = 0 c. dx

A: This is a question of differential equation. We will solve this equation by separation of variables…

Q: x - 2xy - 3y" : y(1)=; dx

A: The given equation is first order Bernoulli's ordinary differential equation. y'+p(x)y=q(x)yn The…

Q: Q4) Solve the D.E y+2x* dx ya

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Q: Part 3: Solve the non- homogeneous equation y" + 49y = cos(7x) – 7æ² has general solution (remember…

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Q: 2. Obtain the general solution using Bernoulli's equation. Simplify your final answer. + x dx - –…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve the equation using Variation of Parameters (D² + 1) y = tan x

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Q: dx -dy = 0 4. Solve

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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: Part I Solve for the general solution of the following equations: (5xy – 2y)dx + (3x'y-x)dy = 0 b.

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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: dy %3| 6x5-2x+1 dx cos y+ey

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Q: B: Solve the following integrations: a- fx³e-2x dx b-fdx +10 c-f 3sec³x. tanx dx

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Q: xdy -ydx =(xy)^1/2 dx

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Q: Q5. Transfer the Cauchy-Euler equation to a constant coefficient equation and find the general…

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Q: 4. Solve dx - dy = 0 xy-1 xay

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

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Q: 1. S dx x² -1

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Q: KO 1. Solve the equation: (x + xy²) dx + exp(x²2)y dy = 0 %3D

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Q: Solve the equation. (4x2 + 2x-1y)dx + (x²y° - 1)dy = 0

A: Given: Given differential equation is 4x2+2x-1ydx+x2y3-1dy=0 we want to solve this ODE

Q: Solve for the Linear Equations (x5+3y)dx− xdy=0

A: The Linear Equations is (x5+3y)dx− xdy=0

Q: (2у^2 х - у) dx +xdy %3D0

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Q: | (1+2x) e#dx

A: If the limit exists and is a finite number, we say the improper integral converges . If the limit is…

Q: Obtain the general solution using Bernoulli's equation. Simplify your final ansv answer. ix- 6* dy =…

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Q: Solve the equation. (4x + 3y + 3y“)dx + (x + 2xy)dy = 0

A: ANSWER :

Q: d.Solve equation (31), obtaining v implicitly in terms of x. x( dv/ dx) =( v^ 2 − 4)/( 1 − v) .

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Q: solve d 3 d'y = sin2x dx dx

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Q: 4. Solve dx - dy = xy-1 1 o = áp-

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Q: e

A: We are given the following differential equation: 1+exydx+exy1-xydy=0 We have to find the general…

Q: Solve the equation. dx 2 dt t+ 4x хе

A: Given differential equation is

Q: Find the general solution of the following equations= (x10/3 – 2y)dx + xdy = 0 1-

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Q: ( 3х — у +1) dx- (9х- Зу — 3) dy %3D 0

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Q: Solve the diffrential equation.(pls step bu step and clearly) (d/dx+2x)(dy/dx+2xy)=2e^(-x^2)

A: We have given differential equation is…

Q: Solve the equation. dx 3 dt t+ 6x хе

A: We have to solve given problem:

Q: Solve the equation (1-y)e + dy

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Q: 2. Solve the equation (y²- 1) dy/dx -3y, given that when x = 13 y-l

A: Hello

Q: Find the general solution of the equation. Express the solution explicitly as a function of the…

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Q: (x-1) dx- ( 3x- 2y- 5 ) dy = 0

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Q: PART - B IA. Solve (4xy + 3y? - x)dx + x(x +2y)dy = 0 with y(2)=2. IB. Solve (x²D2 + xD - 1)y =ri

A: Since, you have posted multiple questions. As per guidelines we will solve only first question. If…

Q: Given (x² + 2y)dx + (+ 2xy+ 2x) dy = 0. 3 i) Check the exactness of the equation. ii) Based on your…

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