15- dy _y* -x diferansiyel denkleminin genel çözümü aşağıdakilerden hangisidir? 2ху dx x-y' =cx 046 a) b)o y=sinx-ccos x d) x+y' =cy

Q: find the integrating factor of cos(x)y'+sin (x)y=2cos^3(x)sin(x)-1

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Q: 81 fx, y) dy dx 10 10 O-10 10 1아 1아 -10 10 -10 -10 81 -x F(x, y) dy dx = f(x, y) dx dy

A: we have to change the limit of integration.

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Q: 6. Encuentre la solución general de la siguiente ecuación diferencial dy 2.ry(y – 1) dx 3(1 + a)

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Q: dy Find ax for y = cosx(1 + cscx) dy O 1) = -sinx cscx cotx %3D O 2) 2) dx = -sinx(1+cscx)-cosx cScx…

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Q: 2. dx Ix Also, Prove that 22 %3D dxdj = dy dX

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A: Differential equation and it's solution

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Q: Evaluate (2x-y)dx+(x+3y)dy along the path C: curve on y = 1-x² from (0,1) to (1,0).

A: Given the line integralI=∫C(2x−y)dx+(x+3y)dyCurve y=1−x2

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A: Given dxdt=0110 x +ete-t Here let take A= 0110A-λI=-λ11-λ=0λ2-1=0λ=±1 Hence the eigen vector for 1…

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A: Differentiate rhs

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Q: 15 dy dt 2-

A:

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Q: 1. If y=tanx, prove that y=2(y² +1)(3y² +1).

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Q: 8 2 1. Reverse order, then integrate Sr) dydx.

A: Given:    Intergral is given

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Q: (2(1-2) (1--) dy dx dz 1-z) Evaluate S, a-2 (1-

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A: Given: ∫arcsin4y1-16y2dy

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Q: 4. Get the exact a. dy = cos 2x dz differentials of y = (sin 2)² b. dy=sin 2z dz dy = sin 2x d.…

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Q: 7 Integrate by using the Archimedes-Riemann Theorem | (2.02 + x)dx

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Q: 129. y = ecos i dt In

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Q: The integrating factor of Linear differential dy equations + y × 4 tan x = sec²x is dx . O tan 4x O…

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A:

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Q: 1. If y= tanx, prove that y"=2(y² +1)(3y² +1).

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Q: Sin'z dz 4.

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Q: far 4 (4f² + 3)² dt cos t dt 1 + sin t sec x tan x dx sec x – 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.