x² = 2y²(y-1) y² = 2x²(x+1) x² = 2y²(y+1) y² = 2x²(x-1) dx (3x²-2-²) 4

Q: 2x" 2x' 4x = 2e

A: Given differential equation 2x''−2x'−4x=2e3t.....1 Divide both sides by 2, we get x''−x'−2x=e3t Now,…

Q: 17x-6 - dx x² -x² - 6x 2.

A:

Q: (x² - 12x + 9) dx (x²-3x + 2)²

A:

Q: X(35X [En(x) ? dx

A:

Q: 2x+x-21x+24 dx x² +2x-8

A:

Q: 2x dx (x*-16)

A:

Q: Find the general solution: (x^2D^2 + 6xD + 6I)y = x^2

A: Find the general solution: (x^2D^2 + 6xD + 6I)y = x^2 Given D.E., x2D2+6xD+6)y=x2⋯(1) which is…

Q: b. S 2*³-4x²-x-3 dx х2-2х-3

A: First we divide the polynomial  using long division

Q: S2x3-4 x²-x-3 dx х2-2х-3

A: See the details solution in below

Q: (D^3-2D^2-5D+6)y=e^(3x)

A:

Q: y = (x' - 2x2 +3) (7x² – 4x)

A:

Q: NIFN dx √2x (√2x + 9)

A: Given query is to find the value of the integral.

Q: (D^2-1)y=5sinx

A: The given differential equation is D2-1y=5 sinx The solution cam be given by  yx=C.F. +P.I. Where…

Q: (x^3 + x^4)dx + 8y^(3)xdy = 0

A: x3 + x4dx + 8y3xdy = 0

Q: (√3-3)/6 - (√3+3) /6 12 dx 2 1+ (2x + 1)²

A:

Q: (x^(2)-4y)/(2) x=4 y=-3

A:

Q: Find h(-2)         h(t)=t^2-4t+2

A: The given function, h is,

Q: 4= Find y 13x+(2x3-x'

A: To find the derivatives

Q: Evaluate ∫4x+5/(3x+2)(x+3)dx

A: Given Integral: ∫4x+53x+2x+3dx   To find: Evaluate the given function. Formula used: i) Partial…

Q: x²+2x - 1 dx 2x3 + 3x2 - 2x

A:

Q: D^(3+1) (D-2)^(7+1) y = 48e^2x

A: Put D=m then solve it.

Q: y=(x+x*}

A:

Q: Evaluate 4x² + x3 2x² – 3x - 2 dx.

A: the given integral is (4x2+x-3)/(2x2-3x-2).

Q: differentiate y = (x - 1)/(x + 1)

A: Given function: y=x-1x+1 Differentiate the above function w.r.t 'x' dydx=ddxx-1x+1

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

A: (1)ddx(7x6+3x4−2x)

Q: =a(x-1)^2+2 passes through the points (10,-160) A=

A: NOTE: Refresh your page if you can't see any equations. . the point (10,-160) is on the graph so…

Q: ∫(4y-3)(16y^2+12y+9)dy

A:

Q: x + 5X" + 4X - 3 dx (x² + 3x + 5) (x²+7X+12)

A: The given integral is ∫x6+5x4+4x-3x2+3x+5x2+7x+12dx.

Q: 4/3v-1/v=v+2/2v^2

A: Given 43v-1v=v+22v2 Solve value for v

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

A:

Q: (x3-4) 2. S dx x3+2x2+2x

A: To evalaute: I=∫x3-4x3+2x2+2xdx=∫1-2x2+2x+4x3+2x2+2xdx=∫dx-∫2x2+2x+4x3+2x2+2xdx

Q: Evaluate d (2 – 1) (z + 7)] | da O 3x^2 + 14x + 1 3x^2 14x + 1 O 3x^2 - 14x - 1 3x^2 + 14x - 1

A:

Q: S (3x² + 8x) / (x³ + 4x² - 5)dx %3D

A: The given integral is ∫3x2+8xx3+4x2-5dx

Q: y= x^4-3x^2+4x-3 find derivativr

A: