04/ Determine the particular solution of the equation d²y dx2 = 9 given the boundary 3 dx conditions that x =0, y =0 and = 0. dx

Q: 9 dx dy +ytanhx= 2 sinh x dy - 2y = x' cos x 10 x dx

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Q: х2+1 dy 4) хеУ dy- *dx 5) х?у 3 (1 + х)Csc y y dx 6) хеУ dy + (*+1) dx =0 y

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Q: [2 ln (x)+1] dy in yty cosy %3D dx

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Q: Obtain the particular solution of (x+2y-1)dx-(x+2y-5)dy=0 using Bernoulli's Equation. (Complete and…

A: Given the differential equation

Q: 5. Find of the parameters: x = sin 2t and y = - cost at t = dx %3D

A: Topic = Derivative

Q: (1) Find the general solution for -) dx - -) dy = %3D

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Q: (10) Find x²e*y dx dy. (Hint: Reverse order of integration.)

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Q: Find the general solution Using Integrating Factors Found by Inspection. Show complete solution.…

A: Find the general solution Using Integrating Factors Found by Inspection. Show complete solution.…

Q: y = [cosh(2x)]ot*( 1 cot-1 3 Vx

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Q: dy Determine the general solution of = 1+ 3y tanx. dx

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Q: In each case, derive the general solution. When a boundary condition is also given, derive the…

A: The differential equation is given by xdydx-y=x4sin x   …(1) We need to find the general solution of…

Q: Apply the application for integration dy/dx=2x+3 y(1)=2

A: Given: dydx=2x+3, y(1)=2

Q: Q8 Integrate by parts: x sin x dx

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Q: Find a set of solution. Integrating factors found by inspection.   y(x2 + xy2 - 1) dx + x (x2 + y2…

A: Given the differential equation y(x2 + xy2 - 1) dx + x (x2 + y2 +1) dy =0. We need to find the set…

Q: . Find P.S. of (16x +5y) dx + (3x+y) dy = 0 of the curre to pass thru the point (1,-3) 2. Find P.S.…

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Q: The integrating factor of the linear DE of order one + y csc x = sin x is dx

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Q: Find dy/dx by implicit differentiation. x^3 + y^3 + 9y - 5 = 0 dy/dx =

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Q: What is an integrating factor of the nonexact DE  (2y^2 + 3x) dx + xydy = 0 ?

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Q: In x 2. Integrate -dx , (i) using the sub stitution u = Inx (ii) using integration by parts.

A: Integrate by substitutions and by parts

Q: = sin(5x) for y(0) = 2

A: the solution is, y = (11 - cos5x)/5  The detailed solution is as follows below:

Q: Approximate - -1x+3 -dx using trapezoidal rule with n=4 and Simpson's rule with n=4.

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Q: (ylny-exy)dx + ( + xlny) dy = 0

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Q: 7. What is the order, degree and linearity of: (dy + 3x dx, d°x = ey dx3 8. What is the order,…

A: Note: since you posted multiple questions. As per our guidelines we are supposed to solve one…

Q: Find the particular solution for the given separable equation when y(0) = 3. 1 dy = ysin(2x) 1? dx

A: To find the particular solution for the given separable equation when y(0)=3

Q: 1. S ( cos(2x-1) dx (Integration by Parts) et

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Q: Find dy/dx by implicit differentiation. (1/x^3) + (1/y^3) = 4 dy/dx =

A: Given function (1/x^3) + (1/y^3) = 4  We need to find dy/dx using  implicit differentiation

Q: find the dy/dx by implicit differentiation. 4. 5x-x^2y^3=2y 5. y^2+2xy^2-3x+1=0 6. xy+2y=x^2

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Q: Use Leibniz's rule to find dy dx dy dx for y= 8x-1 √ (t4-5) dt.

A: Concept: Newton Leibniz Theorem : Newton Leibniz A formula for differentiating a definite integral…

Q: 4. Evaluate: a) 4 (earctan x)dx o dx b)음 arctan x dx # earctant dt

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Find dy/dx by implicit differentiation. 2(x^2+y^2)^2 = 25(x^2-y^2)

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Q: 5. Solve dy dy + y = 2sin(3x) dx - dx? using the method of undetermined coefficient.

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Q: (continue solution of de) (2ysinxcosx - y + 2y²e*Y" )dx = (x - sin²x - 4xye*y" )dy

A: Using method of exact differential equation.

Q: b) y = [ dx Integrate. 13 +5

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Q: i) S'(2x – 1)* dx (In x)2 j) fth dx 7 k) S (1-- -)dx (x2+1) 1) S(1+ tan² x) dx

A: I am attaching image so that you understand each and every step.

Q: y(1-x^2) dy/dx=x(1+y^2) solution of first order Deferential Equation

A: We have to find solution of y(1-x2)dydx=x(1+y2)

Q: The integrating factor of Linear differential dy equations + y × 4 tan x = sec²x is dx . O tan 4x O…

A: To find the integrating factor for the below linear differential equation. dydx+y×4tanx=sec2x

Q: Solve by separation of variables (y +1)dy dx+x(y^2 +2y)= x.

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Q: 5. The integrating factor of the di equation 2y dx + (x- x^3 y^3) O x*3 y^2 O Does not exist

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Q: Find dy/dx 1. y = sin ( 5x - 9) 2. y = sin-4x/5

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Q: Soru 1. (1+ 25)dx + 20* (1 - )dy = 0 ; -) dy = 0 ; + 2ey) dx y(0) = 1,

A: Given that:                           1+2exydx+2exy1-xydy=0    .........................(1)…

Q: 3/ Find Value of integral ) dx 0 X+1

A: I am attaching image so that you understand each and every step.

Q: The degree and order of the differential 1 dy equation 1+ is 3 dx wy dx

A: Solution

Q: Evaluate the integrals

A: Given integral is:

Q: 4.) Find dy/dx. Given: 5x - x'y' = 2y %3D 5.) Find dy/dx. Given: y? + 2xy² – 3x + 1 = 0 | 6.) Find…

A: 4. 5x-x2y3=2y5. y2+2xy2-3x+1=06.1x+1y=1

Q: Find explict solution of the foilowing initial-value problem dy yoanx?, yla)of %3D dx

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Q: ind the particular solution of (dy/dx) = (5x3 + x2 - 2); y = 1 when x = 0

A: The solution of a differential equation with no unknown constants is a particular solution of that…

Q: Find dy/dx: solution in handwritten 1. y = 5* (** + dx VE х4 3 -x²,

A: Using leibnitz rule for integral.

Q: Obtain the particular solution. 1. 2y dx = 3x dy ; when x = 2 , y = -1 .

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