Solve the Bernoulli equation dy + xy = xy dx y = (ce²² – 1)-} .B y = (ce² +1)-} .C y = (ce²² + 1)-} .D y = (ce* + 1)-2

Q: Q4)/ Solve the Following: d²y dy 4x - 6y = x³ + 1 dx² dx

A: See the attachment

Q: Solve y′  of (t^5+t)(t^3−4t+1)

A: ddtt5+tt3-4t+1Apply the Product Rule:  f·g'=f '·g+f·g'f=t5+t,…

Q: Solve for dy y = sec 2x² dx

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Q: Solve for the equation by equating coefficients: y′′ − 3y′ + 2y = 2x^2 + e^x + 2xe^x + 4e^(3x)

A: The given differential equation is: y''−3y'+2y=2x2+ex+2xex+4e3x

Q: Differentiate. y = In (6x? - 5x + 3) y' =O

A: Given: y=ln6x2-5x+3 We know that ddxlnx=1x…

Q: Implicit definition- solve for dy/dx 4x^2 +y^2+2x-3y+2x^3y=2+6xy

A: Here we will take derivative both sides with respect to x and then apply chain rule.

Q: (2x + 3)y' = y + (2x + 3)/2; when x = –1,y = 0

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Q: Solve 3- (1 + x)y' – xy = 1 - x x .. 2 د. علشان مایه رندار

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Q: xy' – y – 5x* – 3x² + 2x = 0 when x = 1 and y = 2

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Q: 2) Solve the equation y' = Y 4x²y + x

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Q: y' = 2x + 2y +1 3x +y -2 ty

A: Given differential equation y'=2x+2y+13x+y-2. The objective is to solve the differential equation.

Q: Solve th D.E using Exact -(3x² – 6.xy)dx +(-3xr' – 2y)dy = 0

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Q: (D-00-60)2 (2x +) COS

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Q: Solve (5.(x) ox 7 1 xx+

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Q: Find dy/dx: a. 3x? – (xy²)/2 = 2y³ b. y = (cosx – nx)^**

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Q: dy _ xy+2y- x- 2 Solve dx xy – 3y+x – 3

A: I am attaching image so that you understand each and every step.

Q: Solve for the general solution of the given DE: O y = (-6 + ce^(-x^2/4))^2 O y = (-6 +…

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Q: 는(csc-1(324)) = d SC dx

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Q: Solve y'= 3y.x² 3 x³ + 2y4

A: This question can be solved using the concept of linear differential equation.

Q: 94X080 Solve (y2exy² + 4x √x + (2xyexy - 3y²)dy = 0

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Q: Rewrite y = 3 * (8) ^ (t / 15) in the form y^ prime =a(1+r)^ t or y = a(1 - r)

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Q: Evaluate les-). d 3x dx OA (3x³- x?)e3x²-x?-1 O A. ² – x² – 1 OB. O B, e oc (9x² - 2x)e³x³-x? OC.…

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Q: sec (2 – 3x) A. – 9sec (2 – 3x)tan (2 – 3x) - 9sec (2 – 3x) tan tan (2 – - C. 9 sec (2 – 3x) tan tan…

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Q: X-yi/x2+y2=1/(1+xi)(3+i)

A: Given

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.