" + y' + y = x? - 4x 13 y(x) : 2x + 8

Q: Differentiate y = 2(2x - 1)5/4.(2x + 1)3/4

A:

Q: 32²+4dx Find 3xe 3+4 dæ

A:

Q: 3(y-2) 1- 3y

A:

Q: sec² (w) - -dw 4w2 +1 10.

A:

Q: dx V3+2x-x2 10.

A:

Q: Simplify

A: Given: To simplify the expression       (2x2 y-5) (6x-3 y)…

Q: 2(a + 3x) = y - 4x for y

A: Given query is to solve for y.

Q: x5 + x² + 4x³ + 4x² + 4x + 4 dx (x² + 2)³

A:

Q: What's y=-×^2+2×+10 is ?

A: The equation is y=-x2+2x+10. The above equation is in the form of equation of parabola.

Q: Simplify: 512 + 5-3

A:

Q: ((x-1/4y-1)-3)/ (x5/4y0)

A:

Q: (10x-19) (3r + 2) (5x-3)

A: We will use the exterior angle property of a triangle that states that an exterior angle is equal to…

Q: Differentiate y = 5/x4 - x3 + 1.

A: We need to differentiate y = 5/x4 - x3 + 1.

Q: (2x +1) dx 2. 15 - 2x -X

A: We have been given the integral  ∫-31(2x+1)15-2x-x2dx

Q: (3 2X +2X +2 dx x²+2x=x -2

A: As per guideline we have to solve

Q: (4x³y-$z+)(-2x-3 y7 z?) =D

A:

Q: 4= -59-x2-16x +15 2(x-s)

A: Curve for x-intercept,by cross multiplyNow, we determine root of the quadratic equation..Use formula…

Q: solve (2x+1)(x-1)=(y+5)(2y-5)

A: First we use distributive property on both sides. And then we move all the terms of the right side…

Q: Integrate (x2+2)(9x3+6)

A: Given that: ∫(x2+2)(9x3+6)dx

Q: Simplify completely: (x7/2y1/2)3/2/x1/4y5/4

A:

Q: dx -x² – 4x+12

A:

Q: solve  (-y)(y^2)

A:

Q: Integrate: (4x-9)/(2x-5)(x-2)

A:

Q: x5-2x2 dx (ii) J Tr6-4x3

A:

Q: S (3×412メ -15)2 2dx

A: The integral is solved as follows :

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.