dy Use the method for solving equations of the form = G(ax + by) to solve the following differential equation. dy dx dz dx dz Derive and simplify the differential equation for = sin (3x - 3y) || where z = 3x - 3y.

Q: 5. 6. Solve fo e-t sint dt. dt. t Solve fe-t. -t sint t

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

Q: Solve for the dy/dx using implicit differentiation.  tan-1y = 3x2y

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Q: Solve the differential equation: dy/dx = 2 + sqrt(y -2x + 3)

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Q: Determine the solution of the differential equation: (3tanx - 2cosy)sec²x dx + tan xsin y dy = 0

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Q: Find the general solution of the equation: y' -2y = 2 sin(3t).

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Q: +3x2 b. Find (y)? = sin³(cos³(* *3*)) %3D dx 2

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Q: Solve the following the exact differential equation : (3x^2y-6x)dx+(x^3+2y)dy=

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Q: Solve the differential equation: (2xy-sinx)dx+(x² - cosy)dy=0.

A: The given differential equation is  (2xy-sinx)dx+(x2-cosy)dy=0 It is of the form , Mdx+Ndy=0 . This…

Q: dy Solve sin -1 | = x +y dx,

A: Sin-1(dy/ dx) = x+y => dy/ dx = sin(x+y).

Q: If y = (1/2x)(sin(lnx)-cos(lnx)), find dy/dx.

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Q: solution to this differential equation: x3 ydx + (3x4-y3)dy = 0

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Q: What differential equation has y = x² cos y - 4x + C as a solution?

A: We have to find

Q: 2 2 + xp – y - y = 0 xp

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Q: solution to this differential equation: (x5-y2)dx + 2xy dy = 0

A: Given differential equation is x5-y2dx+2xydy=0

Q: Solve the differential equation (sec x) dy/dx = ey+sin x

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Q: 3.6da =-ka 3-b. dt Solve the differential equation and Express the x as a function of trigonometric…

A: Given differential equation is, bd2adt2=-ka.

Q: Solve y dy + 2y = xe* + sin 2x 3x - 3 | %3D dx dx

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Q: Find the differential of each function. (a) y = x2 sin(4x)

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