3D In Vi dt y = x/2

Q: dx dt x = ثر - |

A: A differential equation is said to be a homogeneous differential equation if we can write it in the…

Q: dx 8х — 9у dt dy = x + 2y x(0) = 2 y(0) = 1 - dt

A: The solution is given as

Q: 13 x2. dx 3 у — ху, у(-1) %3D —1 dy 14 + 2у %3D 1, у(0) %3D3 dt

A: A differential equation is an equation in x,y and derivatives of y. Initial value problem is a…

Q: dy 2-+ dt dx 5et || dt

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Q: dx + dx dy e; dy = x +y Use elimination to solve: dt dt dt dt

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Q: 2. У(x3е*У — у)dx + x(у + х3ехУ)dy %3D 0 -

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Q: 1 dx = 9 inches per second :- dt y = 1 + x2 (a) x = -3 dy in/sec %3D dt (b) x = 0 dy in/sec %3D dt…

A: Topic-derrivative

Q: d²x dx 2 + 10x = e2t x(0) = 0, x'(0) = 1 %3D - dt2 dt

A: Given differential equation is d2xdt2−2dxdt+10x=e2t. and x0=0, x'0=1 Write the auxiliary equation…

Q: 1) [ (2t – 1)² dt 2) dx 3) [, x(x² + 1)° dx

A: To evaluate the given integral.

Q: 1?ei dt

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Q: a. (xy + y²)dx+ (=

A: a. Given,       (xy+y2)dx+(x+2y-1)dy=0

Q: dx -0.16x + 0.08xy dt dy 4.5y – 0.9xy - dt

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Q: Bx*e²*dx Integrate. J3x*e*rd

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Q: 2 (x-4) dx = (S %3D 2.

A: Given : The definite integral is ∫02 ( x - 4 )2 dx .

Q: dy of the implicit function. dx 4. Find the 1 1 1 2 2 = a

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Q: dx + +x = 1 x(0) = x'(0) = 0 dt %3D %3D dt

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Q: Determine whether the equilibrium at x = 0 is stable, unstable, or semi-stable. dx = 3x7 dt The…

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Q: dx -Зх — бу 3D 0 dt dy 3x + 3у %3D 0 dt

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Q: vt e dt

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Q: d²x 1. dx +9x =0. when t-0, x-2 and dt dt dt

A: Note: since you posted multiple question. As per our guidelines we are supposed to solve one at a…

Q: = Lasin(t") dt y%3D

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

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Q: d²x dx (v) - 2 + 10x = e2t x(0) = 0, x' (0) = 1 dt2 dt

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Q: *)CSフJつ dx 1/2 ウキ

A: Given integration is : ∫121sin-1xx3dx  To find the value of integration.

Q: 2 Solue Bor メ= o-5 dx = y X (6) = 0 dt dy =_X yo) =I %3D

A: As per bartebly Guideline we can solve only one question.. Hope you understand

Q: 6. J 4 x4-1 -dx

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Q: • A) Ln(y²+1)dx+2yx-1) dy = 0 y²+1

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

Q: Find dy/dt.

A: Find dydt.

Q: d²x 2. dt dx dx 2- + 3x = 0 x(0) = 1, (0) = 0 - dt2 dt

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Q: dx -3 +2x dt = 2 is

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Q: Find dy/dx

A: Given: y=∫0sin x  dt1-t2, x<π2 To determine: dydx

Q: c) Calculate the integration Y+1 dydx

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Q: сох3х S* (1/4 – 1) dt dx J3

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Q: A. Integration by parts i) (3t +t²) sin(2t) dt

A: since u have asked multiple question in a single request so we will be answering only first question

Q: What is an integrating factor of the DE dy/dx = (y + y^2) / x ?

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Q: 1) [ (2t–1)² dt 2 2 2) dx X 3) [ , x(x² + 1)° d.

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Q: 25. dx is 1 (B) (©) ! (A) 2e (D) (E) divergent

A: see below the answer and calculation

Q: t2+1 = 0 dv Vt- dt V+1

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Q: 24. Evalute dx r +1

A: Given: ∫0∞x12x3+1dx

Q: Determine whether the equilibrium at x = 0 is stable, unstable, or semi-stable. dx 3 dt The…

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Q: 1. y = 3x2 - 5x when x = 3 dx when x= 2 b. dt a. 32 dt dy dt

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 6- 2 dx 子 メt Casy =0.

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Q: dx a. dt b. 2y dt

A: A)  given equation can be written as (D-5/2)X -2Y =0 -3X/4 +(D+2)Y =0  By using elimination method…

Q: Integrate J dx X(x-3)

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Q: 1- dt 2x 1 d Q10:- Calculate dt dx 2x 3- dx 'x SLn(t) dt. dx 'x

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Q: .2 dt t2 + 1 dx

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Q: 4 d 4. Find dx 2 Vt2+17 dt

A: The given integral is,

Q: d²x + 16x = 1 + 2 sin 4t dt2 dx (0) = 0 x(0) = 0, %3D dt

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Q: ) S3x'dx 34- 3/2 3) Ssú dy dt

A: