• If u = x+ 1 t= yu y = -t² then, %3D 1. dx dy -1 dy = X dx dy 3. dx |3D dy 4. dx 1 O 2 O 3 O 4 O 1, 2.

Q: 3 d²y +3y[ dy + dy .3 2 dx = 5x dx dx

A: We have to identify the independent variable, dependent variable , order and degree of the given…

Q: 2/7,545

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Q: 1. Evaluate (i) dy dx, 3

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Q: 1. dy = e3x+2y dx

A: Given dydx = e3x+ 2y

Q: dx dx + dx

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Q: Compute dy / dx and d2y / dx2              x 2 - 4y 2 = 8

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: 16 4+x² dy when y = Find 4 – x² dx dy dx

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Q: dy 2y 1. dx 2y3 %3D

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Q: 3x dy 2y when x = 1, y = -1 dx 2y

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Q: Integrate 1. S the following: (x²-3x²) dx (x4-4x3+2)3 3 √x-2 z² 2 2. S dx 3. S dz 4 √73-2 3.

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Q: d2y Find anž if 2x²-3y²=7 dx2

A: Given that 2x^3-3y^2=7

Q: Find dy/dx

A: Step 1: Step 2: Step 3: Step 4:

Q: dx tan x -1 '+ 4dx de x- Vx

A: Taking #5 and #6 As per authoring guidelines, if the question number is not specified, the first…

Q: dy -x-ly=²sin2x dx || 2 . 2号=2でッる xp

A: First order differential equation of the type, dydx+Pxy=Qx can be solved as follow: 1. Find…

Q: Find dy dx dy if y = dx x³ + 9x + 5 x² - 7

A: y=x3+9x+5x2-7

Q: Find dy -, if dx dy dx y = u U³ || - u and u = 4x² + 1.

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Q: sin(x + y) dx (3x − 2y + 1) dx + (3x - 2y + 3) dy = 0

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Q: 1. = 2 + 3y dx %3D dy 2. dx = 2cos?y dy 3. (y2 + 2) = 5y, given y=1 when x=3 dx dy 4. = xV2x + 1 dx…

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

Q: Find dy dx I if y = 4u - 3 and u = − x² + 4. dy dx

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Q: dy Find dx for 3" + 3" = 3(+9at the point (1, 1). 3(a+yat the point (1, 1).

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Q: y"=? (d2y/dx2) y=2x2+1/x3+2x

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Q: 6. y = V7+ V3x+1 4х-5 y 2x+1 7. у 3 8. у %3 Зx+1 y = Зx? +2

A: according to our guidelines we can answer only one question and rest can be reposted.thanku

Q: valuate 1 dz da dy 3x²+3y²

A: The following problem can be solved using the cylindrical coordinates We first convert the x,y,z…

Q: 4 y = x + + Vx

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Q: dy x+3y dx 2x II

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Q: s separation possible? a.dy/dx=(10+x)/x b.dy/dx=7x/(5x+3y) c.3xdy/dx=5/(7y)

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Q: - 2 dx3 + 2 d?y dx? d x4 2 dy

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Q: y=ee arcse e(2x)

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Q: dy of x = *-y 2 dx Find x+y

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Q: Find dy dx dy dx if y = = x³ + 4x + 7 x² + 1

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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.