2x e y = 2x y = (3x² – x).(*2) 5x+2 y =

Q: Find the particular solution for y' = x3 – 2xy when x = 0, y = 1

A: We are given a differential equation: dydx=x3-2xywith the initial cobdition x=0, y=1 We can solve…

Q: Find d2y/dx2 in terms of x and y. x2y2-10x=1

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Q: V121–a² r85-x²-y² 11 x dz dy dx -157+x²+y²

A:

Q: Find of y3 = x* + 3x d?y dx2

A: giveny3=x4+3xdiffrentiate with respect to x3y2y'=4x3+3y'=4x3+33y2

Q: xe lF Sx2z+y3-Xリ2う=0,

A: Consider the following equation: 3x2z+y3-xyz3=0 Differentiate the above equation with respect to x…

Q: Solve the (x²+3X +Z) dx 4.

A:

Q: y-y1=m(x-x1) y-(-1)=4/5(x-(-1)) y+1 = 4/5x + 4/5 y=

A: The given equation is y+1 = 4/5x+4/5      y = 4/5x+4/5-1         = 4/5x-1/5

Q: d, 3 Find dx -)- + x(х - 1)). A -3 +2х-1 B +1 -3 +1 -6 +2х-1 x3 (D

A:

Q: Find d2y/dx2 implicitly in terms of x and y.    x2y − 4x = 5

A: To find the second derivative of y implicitly in terms of x and y.

Q: a) Y= ezx-e-zx €²x+e-2x

A: Given,   y=e2x-e-2xe2x+e-2x

Q: Find dy for given Values OF x and AX y= 4x315x X=-3 and AX = 0.3

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Q: 3. zy if y + x² – 3xz = 222

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Q: Solve (D2+2D+2)y=e-x+sin 2x

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Q: xy = e2x; y 2х ху — е

A: We will find y' as following.

Q: Find ax dy x-2–1 given y = 2x3

A:

Q: Find the second derivative. 3 2. y = 7x-8x+4 e* O A. 28x-16-4 e^ O B. 16x- 28-4 e O C. 16x- 42 + 4 e…

A: A function is a relation which maps each value in its domain to exactly one value in its range. The…

Q: r/64–x² r61-x²-y² x dz dy dx -67+x²+y²

A:

Q: (4x-3) find dy/dх y = (2х-7)6

A:

Q: dy (B) Find -, if dx 3x2 + 2x 2 Y = (- when x = 1 5

A:

Q: Find d2y/dx2 implicitly in terms of x and y.

A: To findd2ydx2

Q: „ 2x2-5x if y= dx dy Find 5x3 +5

A: y = ( 2x2 - 5x ) / ( 5x3 + 5 ) y'=?

Q: Evaluate S ( + - + e²+ =) dz 3 · 3z 21² In x++²x+}x+ + C Option 1 √√(x³)x= √√√x + √2x+C I- Option 2

A:

Q: Apply the Gauss-Seidel method to the system

A: the Gauss-Seidel method to the system x1 - x2 = 1 and 2x1 + x2 = 5 with initial approximation [0  0]…

Q: Find d2y/dx2 implicitly in terms of x and y.    x2 + y2 = 4

A:

Q: f(x)dx =| -8 -4 -4 (9f(x) – 7)dx

A: see below the steps and calculation

Q: e + xy + 4x = 1 ise y"(0) =?

A: ey+xy+4x=1 Differentiating with respect to x, we get…

Q: y"+ 2y' +y =e* x-

A:

Q: Find the solution 7. (x + 4y³)dy - ydx = 0

A:

Q: Find :a. b. 20 fő -1 20 dy (1+y) ² (20-6x) e 20x - 3x² dx

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Q: 7. Solve: dy x + 3y dr 3x + y

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Q: 10 10y-y² IN - 10y-y² ex² + y² dxdy

A:

Q: Q2: Find for y= (4x² +12)²(3x-20)² dx

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Q: of dx forf = 3x² y² – 4.x³ y Q2. + -

A:

Q: ๆ ³₁₂₁ (4x²y — z³) dz dy dx -2 J1

A:

Q: 1. y" - y' - 2y = e* %D

A:

Q: Qs) y" + 3y' + 2y = e* – 3

A: See the details solution in below

Q: Find of z = 2x° 5xy" + x¯ y dy2 -10ху + 3x? у? = -10y + 6xy²

A: To find ∂2z∂y2 of z = 2x3-5xy2+x2y3

Q: d²y Q3: Solve: dx2 dy 6y = 4x3 + 3x2 dx - -

A: We have to solve given problem: Concept: to find particular integral (P.I)

Q: 4-y² ²) dædy 2 2

A:

Q: 6) qyo -x² +2x + S%y +62=0 sty

A: 6)

Q: 3 c2x S *x² dy dx 4.

A: Integral

Q: y, = x2 + 2x + 2 Y2 = 2x + 18 dx 25- 20 15 y 10- 5- 6.

A:

Q: ydx + 2(y4-x)dy=0

A:

Q: Find  d2y dx2  in terms of x and y. x2y2 − 2x = 7 d2y dx2 =

A: Given The equation is x2y2 − 2x = 7

Q: y = e² -Vx sec 6x 3

A:

Q: If x3 + y3 = 16, find the value of d2y/dx2 at the point (2, 2).

A: Given:

Q: calculate d2y/dx2 when y=e-(x-3)-x

A:

Q: 2x+9 Find ', if y dx x2 – 5x+1

A:

Q: So Ve Pollowing the D.E 3X 3y' = e - \2 X +39

A: