Find the solution of the initial value problem dy y , y(1) = 5 + tan %3D %3D dx

Q: QUESTION 8 Differentiate. y = 6x-4 dy dx 4x (6x - 4)2 dy dx 4 бх - 4 dy O dx 4 (6x - 4)2 dy 12x-4…

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Q: (x+y)dx - Cy=x Jdy untino socrect ?

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Q: d (7) Vtan²s+ 21 dt = dx

A: Explanation of the answer is as follows

Q: (3y? + 2)2 = 1 and y(-1) = 1 What is x when y = 2? %3D dx

A: solve the differential equation by separating the variable and integrate it.

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: Solve dy dx + y tan x = -y³x sec²(x)

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

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Q: dy Find dx -1(In 8x*) y= tan %3D dy %3D dx

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Q: Solve the following D.Es: 1. (x+ 1) = x(y² + 1). dr

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

Q: 9x Cos (8x) dx qxcas()dx7u dv = %3D

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

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

Q: 3. (D² + 1)y = sec² x tan x. %3D

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Q: dy Find if y= tan( 2x+5) dx

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Q: y = In (tan -1 (8x°)) dy dx II

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Q: 24. Evalute dx r +1

A: Given: ∫0∞x12x3+1dx

Q: sin?y dx + cos²x dy = 0 ; y (÷) =÷

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Q: (x+y+2) dy dx dz

A: The given integral is: ∫-11∫-11∫-11x+y+zdydxdz

Q: B. Solve DES: (x+y) dx + (3x+3y-4) dy =0 C. Solve DES: y' + y = x/y

A: Given: It is given that the equations are x+ydx+3x+3y-4dy=0 and y'+y=xy. To find: The main objective…

Q: Find dy/dx Roots +2y=c

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: 1. y = x3 – 2x² + 3x – 5 - - dy 3x2 – 4x + 3 - dx

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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.