|2xe"dx + C

Q: dx 2 X - 25

A:

Q: -Tx2 -i2Txs e dx = e e TS2 8.

A:

Q: dx (x² +25)3/2

A: To find the integration.

Q: Determine d2y dx2 , if 2x3 − 3y2 + 7xy = 0

A: We can make it easier for you

Q: d³y --13 + 6y = 0 4 dx3 dx

A:

Q: ?dx V4 -x² 2.

A: Given ∫x24-x2dx

Q: dx x2/3

A: ∫dxx-x2/3=∫dxx2/3(x1/3-1)

Q: d A) show that: (x³) = 3x² . dx

A:

Q: dx. Evaluate - 1)²(x² + 2) x+3

A:

Q: dx xペ-4メ-12

A: Consider the integral, ∫1x2-4x-12   dx

Q: السؤال الأول: جد باستخدام التحويل x = V5rcos(0( (0)2rsin , y = ناتج التكامل * dxdy е 5

A: We have to use proper integration substitution.

Q: dx 2(x - 2)²

A: To evaluate,∫1x2x-22dx

Q: Use the substitution u = :) 2x to evaluate dx 4x² +1

A:

Q: х — b dx /3 – x²

A: Given: I=∫x−b3−x2dx

Q: dx Evaluate: (x2 + 4)

A: Given that ∫1(x2+4)2dx We need to apply the reduction formula ∫1(ax2+ b)2  dx = 2 n − 32 b (n−1 )∫1(…

Q: (b) Evaluate 8x' +13x dx. (x² +2)²

A: Given integral is, ∫8x3+13xx2+22dx.   It is integrated as follows:   Apply the sum formula:…

Q: d²y = 5x? + 1 dx2

A: First we integrate both sides with respect to x and solve it. Follow 2nd step.

Q: (D'+3D+2)y=e

A: See the attachment

Q: -16y= dx4

A: Since you posted 3 questions here, i can answer only one. Please repost other questions separately.…

Q: •B Find 2xVx- 5 dx, where B > 3.

A:

Q: x = u3 + 7 ; y= 6u? – 1 d²y ---> dx2

A:

Q: b) 24 dy yVy-16 c) x + 3 dx 2x - 8x

A:

Q: -y Evaluate 0. ST ' (2x-2)dxdy 0.

A: From the given problem:   I=∫01∫01-y2x-2dxdy   So,…

Q: Find , if y = dx 7-x3

A:

Q: (c) Evaluate 0 √3x - x² dx.

A: Given: I=∫033x-x2dx   As we know that; ∫cosax+bdx=1asinax+b+C

Q: dx ate x² – x – 2

A:

Q: d²y х? — Зху - 10у - 9 %3D0 dx?

A:

Q: x? -dx 5 (6 – x²)

A: Given integral is ∫x2dx6-x252. The above integral can be written as ∫x2dx6-x252=∫x236-x46+x252dx.…

Q: dx (x2 + 2)2

A:

Q: dx (a) x4 +1

A: By Bartleby policy I have to solve only first one as these 2 are unrelated and lengthy…

Q: dx x² - 4x + 13 X

A: Given  ∫dxx2-4x+13To find integral:

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

A:

Q: dxdy (1 – x²)(1– y²) | .2 (d) None of these 2.

A: Given integration, ∫01∫01dxdy1-x21-y2

Q: dx + (3x²y² + x?y -

A:

Q: d'y 4x2 +8x dx

A:

Q: dx x2+2x+2

A: Given the integration I=∫1x2+2x+2dx

Q: Evaluate: ³₂(4x²y - 2³) dz dy dx

A:

Q: Find d/dx(5^6x+2)

A:

Q: dx 9. |x- 2)(x- 4)

A: We will first break 1/((x-2)(x-4)) into partial fraction. Then we will evaluate the integral

Q: dy + 3x?y = 6x2 dx

A: A first-order differential equation is considered as separable if for the differential equation,…

Q: dx x(x²+4)²

A: We have to do proper substitutions.

Q: x dx J 7x2 + 3)5 (7>

A:

Q: dx Evaluate Jo 9x²+4

A: We use standard formula to solve this problem.

Q: dx . Evaluate 3 xVx² – 9

A:

Q: () dxdy by JX -2y3 0.

A:

Q: dx Evaluate: x/9x² + 4

A: LetI=∫dxx9x2+4I=∫dxx(3x)2+22Put 3x=2tany  ⇒y=tan-1(3x2)differentiate…

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.