Solve four questions of the following DEs dx 2 - y = e*/2 dy

Q: Solve for dy/dx and dx/dy: 8xy+2x^4y^-3=x^3

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Q: 5. Find dy/dx (y - x)? = 2x + 4

A: Given: y-x2=2x+4 To find dydx. Solution: Power rule of differentiation states that: ddxxn=nxn-1…

Q: ху Solve *y - dy x+1 dx

A: Let Mdx+Ndy=0 Then the above equation is exact if ∂M∂y=∂N∂x. If the above equation is not exact,…

Q: Solve the equation dy 2 dx with the initial condition y (1) = 1. 2/3

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Q: 1 Evalute: dx (x'+2x+2)'

A: Please refer the attached image for complete solution.

Q: ГЕ 29. /x +4y dx dy

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Q: Find the general solution of

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Q: find dy dx 3 1- %3= Xナメ+1

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Q: 9/2 dy dx

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Q: Show that if you differentiate both sides of x2 +2y³ = 6, the result is dy dx 2x + 6y² = 0. Then…

A: Given function is x2+2y3=6 Power rule of differentiation states that  ddxxn=nxn-1 And ddxconstant=0…

Q: Solve dy/dx =( y+x-2) /(y-x-4) Equation s reducible to homogenous form

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Q: dx ex -1

A: Let ex=t ⇒exdx=dt    dx=dtex          =dtt

Q: Solvedy =dy +4y=2= dx

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Q: у (буз — х — 1) dx + 2x dy — 0 || -

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Q: Solve the LDE = dy/dx = [1/(1+x³)] – [3x?/(1 + x²)ly %3D

A: The question should be  dydx=11+x3-3x21+x3y⇒dydx+3x21+x3y=11+x3 which is linear differential…

Q: Obtain the general solution to the equation. dy 1. y + 2x + 1 dx

A: Given that: dydx=yx+2x+1

Q: Solve dy = ax + by + c_ dx

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Q: SOLVE BERNOULLI´S ODE y1/2 (dy/dx)+ y3/2 =1 ;   y(0)=4

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Q: find dy dx 15 In 4+ xe) 6

A: dlnax+bdx = a.1ax+b.

Q: dy Find dx if y = cos e*

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Q: 3. LLa (x + 2y) dy dx

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Q: dy Solve the differential equation for y if (1+9x²) 1 %3D dx

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Q: Solve th D.E using Exact (6x² – y +3)dx+(3y – x – 2)dy

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Q: Solve d'y 6 dy +13y38e*sin2x -6- dx? dx

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Q: 5) SOLVE dy 2 y (1) == (ive) dx 2

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Q: Solve dx+ dy 0

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Q: 1 dz dy dx. e 0,

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Q: dy ху = x³e-*sin x dx + y² 5.

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Q: 1 e xVx4-1 dy dx

A: To Solve:

Q: Solve for dy/dx. y=((5x-3)/(4-3x))^-3

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Q: 2. Solve the DE: (2x + dx + 2y ) dy = 0 1+ x?y? 1+ x?y?

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Q: 5. S , dz dy dx 2 c3

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Q: dy 1. Solve 2y - e dx

A: Given differential equation is dydx=2y-e3x. To find the solution. Solution: Given differential…

Q: Find the general solution of the equation: G + 6x) dx + (In x – 2) dy = 0 (x > 0) -

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Q: dy dy = xy + 3x – 3x dx dx

A: The given differential equation is: dydx-x2dydx=xy+3x-3x3Therefore:dydx=xy+3x1-x21-x2

Q: Solve D.E using Exact from first order (6x² - y+3)dx+(3y² – x- 2)dy

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Q: Solve for dx/dy: y = 2(x2 + 3x - 5) O 2x + 6 O 4x - 6 O 2x - 6 O 4x + 6

A: Given- y=2x2+3x-5 To Find- dydx Formula Used- Using the power rule of differentiation as…

Q: dx 3. S ex+ e-*

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Q: Question 4 Solve y at x=1. dy/dx - 2(x+1)^3 = 4y/(x+1)

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Q: solve 2 x d zy dx=

A: Given: The second order differential equation is x2d2ydx2+4xdydx+2+xy=0

Q: olve tho) Solve through reduction to exact equations (x-y-1) dx + (4y +x-1) dy

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Q: In Prob. 1-38. Find dy/dx.

A: Given; y=e2x+3.

Q: solve the homogenous equation . (2x-3y)dx+(2y-3x)dy=0

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Q: Solve dy/dx−6y=3 subject to y(2)=2

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Q: Solve drc dt dy dt 200 +

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Q: 4. Find 3x 2t dx/e²t dt

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Q: 27. (x +4y³)dx dy

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Q: Solve the LDE of dy/dx = [1/(1+x3)] – [3x2/(1 + x^3)]y

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Q: Find the complete solution of √1 + x² dx + x(1 + y) = 0

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Q: С (4 — х — 2у) dx dy

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.