(x* thg -x)dx+(xy+2y-2y)dy=0 denklemi birinci mertebe, birinci derece ve lineer bir denklemdir.

Q: T² 2 / (x + 1) (2² + 1) dr. Evaluate

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Q: (-1)^ dx n= (2n+1)!

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Q: eXtan(e*) dx sec²(e*) – 7 2(, - 7

A:

Q: find d/dx 2x^2 -x using derication from first principle

A: Our Aim is to find the derivative of 2x2-x using derivation from first principle.

Q: How did you integrate (y^2/4)^2

A: We shall solve only the part where there is confusion/doubt as asked in the above question.

Q: Solve y′  of (t^5+t)(t^3−4t+1)

A: ddtt5+tt3-4t+1Apply the Product Rule:  f·g'=f '·g+f·g'f=t5+t,…

Q: sinhx dx 1+ coshx ) A 1+ coshx B (1+coshx)? (1+coshx)² D 1+ coshx

A: We have to find

Q: Wie the ouatratic formula to sol -2y=3y^(2)-1

A: Given, Quadratic equation is  -2y = 3y2 - 1

Q: (D^2+2D+2)y=e^-x(cscx)

A: To find any general solution of a differential equation we have to find complementary function and…

Q: x and y intercept of the function

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Q: Va –2 -dx aㅎ (V+1)

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Q: ∫ln(7)0∫ln(7)0e^−(2x+5y)dydx

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Q: y=c_1e^x+c_2x^3

A: Elemination of arbitrary constants

Q: *y=(2x^2+6) find dy\dx 4x\(2x^2+6) O 6x O 4x\(2x^2+7) O

A:

Q: x² + 2x – 1 dx 2x³ +3x2 - 2x

A: The given integral is ∫x2+2x-12x3+3x2-2xdx. Here, we use the partial fraction method.

Q: aresin (2x-1) = 1-x 2 arctan

A: Substitute x = cos^2(theta) and simplify the equation.

Q: Solve the flrst order diflerential equation:…

A: Given differential equation is…

Q: y' of y=(x^4-3x^2+5)^3 and simplified

A:

Q: Calculate (3+1 x3+x a) using partial fractions b) using the substitution w = x3 +x

A: a) Given : ∫3x2+1x3+xdx  By Partial fraction  First, factor the denominator, we get 3x2+1xx2+1 =…

Q: (7-x2)dx 3x3-2x2-x

A: Let I is the value of given Integral.

Q: (x^2 -1) dy/dx +2xy =x

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Q: Find the intergral of 2xsin(x²+1) dx Please make it step by step

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Q: 3x2 x³ +1 dx

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Q: Sezx(1 + e-2*)dx

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Q: 2x+5 dx = AV7- 6x - x2 + B sin - (**)- 1. Vア-6xーx2 +C

A: ∫2x+57-6x-x2

Q: sec? (1/x) dx. 9: (16pts) Evaluate

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Q: find d^2y/dx^2: y^3=4x^6

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Q: y” + 3y = -48x^2 e^3x

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Q: d²y dx² - y = = x - x - 1

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Q: ① -2) (7x 0 - 3x - 2 + 이승 이승 ② 1 ( + ex) 2 dx Hx2

A: (1)ddx(7x6+3x4−2x)

Q: esin¬1 x dx V1-x2

A:

Q: (D^3 - D^2 +4D -4)y=8-e^x + 4cos(2x)

A:

Q: x-4- dx x²-5x+6

A: Given, ∫x-4x2-5x+6dx   We have to integrate.

Q: d Show that In dx 1 (a) x+2 x* +3x +2 1 (b) Hence find the exact value of dx in simplest form. r*…

A: iii.a. Quotient rule of differentiation states that ddxfg=f'g-g'fg2 Chain rule of differentiation…

Q: find d^2y/dx^2 x^3 +y^3=2

A: The given function is x3 + y3 = 2. Differentiate the given function with respect to x as follows.