1. f(x) = 2x2 – 3x+4 2. f(x) = e-2x sin 5x %3D

Q: The separable equation dy/dx=xy2 admits a constant solution equal to (x)=0. Is it True or False?

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Q: Solve the initial value problem y dy/dx = sin 2x ; y(0)=2

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Q: 1. Show that if you differentiate both sides of x2 + 2y³ = 6, the result is 2x + 6y2 = 0. Then solve…

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Q: Find a specific solution to the initial value problem. 1 dy sec x tanx when y co)= 1 dx- 4

A: Given that       {1/(5y4+2e2y)}dx - (1/secx.tanx)dy = 0

Q: Solve the initial value problem dx 2x cos(4t) - dt with x(0) = 1. x(t) = = sqrt(-1/4sin(4t)+1) Hint:…

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Q: Solve the initial value problem dy/dx=x^2+1/x^2, y=-1 when x=1.

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Q: If y=-2x² + sin x solve for the differential of dy.

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Q: 3. General solution of (ylny - e-xy)dx + ( + xlny) dy = = 0

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Q: i) Solve: (1+ydx = (tan-y-x)dy. %3D ii) Solve; ylogydx + (x- logy)dy = 0.

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Q: I am still having troubles trying to effectively solve e^6x(cos7x)dx by integration by parts.

A: Let u = cos7x , dv=e^6xIntegrating by parts:

Q: ordinate at x = 3. 36. Solve the differential equation (x-2)(x+3)-- (2x+1)3D0 given that y= In6 when…

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Q: f'(x) = cos x; y (G) = 3 %3D

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Q: [  (1+ xsiny)dx - x2cosydy = 0  ] How can I find the solution "y" of this equation?

A: We shall use basic knowledge of first order ordinary differential equations to solve this question.…

Q: 4 solve the D.E " -X² Joly =0 3x2 ydx + LY

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Q: (1+x*)dy + x(1+ 4y²)dx =0

A: topic- differential equations

Q: I. Find the general solution of the following: 1. dx dy -2x + 3x² dy 2. dx = 3e-2x 3. (x² + 5)dx –…

A: Differential equation problem....

Q: 2. Find the particular solution of sin y(x+sin y) dx +2x² cos ydy = 0 :3(-1) = 2

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Q: 5. Solve the particular solution of (D2 + 1) y = sec (x) tan (x) using variation of parameters

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Q: 2. Find the general solution of (2x-3y-2) dx-(x-2y)dy = 0

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Q: Solve the initial value problem given below. dy – 16xy and y = -2 when x = -4 %3D | dx

A: Given: dydx=-16xy, and y=-2 when x=-4 i.e. y-4=-2. To Solve: The given initial value problem.

Q: 3. General solution of (ylny - e-xy)dx + ( + xlny) dy = 0

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Q: Example 10.10. Using modified Euler's method, find an approximate value of y when x = 0.3, given…

A: We can solve this using given information

Q: Solve the initial value problem dy sin x У (0) %3D 2. dx 3y

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Q: 1. Find the general solution (5x*y – sin (x))dx +(2x°y-cos (y))dy = 0

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Q: Solve the initial value problem y′+ysinx=sinx and y(π/2)=1

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Q: 4. Obtain the particular solution of (D² + 4) y = sin x + sin 2x

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Q: 1. e-st cosh t dt 2x +4 2. 2x2 + 21x + 34

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Q: 3x =2 when x= What is the particular solution to the given differential equa

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Q: (b) Find the solution for cos(x) − (1 + x²) x − 2xy = - - with the conditions y(1) = -1, y(2) = 2…

A: Note:-  For this problem if you want general solution for this problem then please resubmit problem…

Q: (f) y' – 2y = 1 + 2x – sin(x)

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Q: 9. [ 2x + y cos (xy)] dx + x cos (xy) dy = 0

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Q: Solve the initial value problem 2(y- 1)dy = (4x2 + 5x – 1)dx for y(0) = 2 %3D

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Q: Solve the initial value problem (x² + 4)- dy + 3xy = x, y(0) = 1. dx

A: Given the differential equation,  (x2+4)dydx+ 3xy = x , y(0) = 1 (x2+4)dydx+ 3xy=x(x2+4)dydx=x -…

Q: Solve the initial value problem dxdt+3x=cos(2t)dxdt+3x=cos⁡(2t) with x(0)=−1x(0)=−1. x(t)=

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Q: Solve the differnetial equation: dy/dx=3/x^2-3x^2+2 with the initial conditions (1,8). show work

A: By using variable separable method we can calculate the given differential equation. See attached…

Q: 2. Find the general solution of cos x dy + (y sin x – 1) dx = 0

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Q: Solve the initial value problem: dy/dx= (1/(2sqrt(x)))+2 y(1)=3

A: Solving the initial value problem.

Q: Find Solution of the Attached ?

A: Given differential equation is 3xy'-y=lnx+1 and y1=-2. Given differential equation can be written in…

Q: Solve the initial value problem: f'(x)= cosx + sec2(x), f(pi/4)= 2 + ((√2)/2)

A: We have to solve the initial value problem where, f'x=cosx+sec2x and fπ4=2+22 Integrating both sides…

Q: Solve the initial value problem dx 2x = cos(4t) dt with x(0) = 1. x(t) = sqrt(-1/4sin(4t)+1)

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Q: 1. [8te" dt 2. . (1–3x)sin(}x)dx 3. w'e*™ dw 1-1

A: "Since you have asked multiple questions, we will solve the first question for you.  If you want…

Q: Solve the initial value problems for y as a functionof x. (x2 + 1)2 dy/dx = √x2 + 1, y(0) = 1

A: x2+12dydx=x2+1⇒dydx=x2+1x2+12⇒dydx=1x2+132⇒dy=1x2+132 dx Now integrating on both sides, we get…

Q: 3 9 dx dt -1 -3 with x(0) 4 Give your solution in real form. X1 = X2 = ||

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Q: 3. Find the general solution of y"-3y'+2y = e* cos x [using variation of parameters]

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Q: In(|(2 +1)"(z + 3)|l) 15x - 13 dx = X (Don't forget to include the constant of 2-2x 3…

A: topic - indefinite integral

Q: solve the initial value problem dx/dt=x-x^{3} with x(0)=1 Please provide valid answer

A: Given differential equation is

Q: Solve (5x2y2 O a. b. 2 ln 3 In a In xy² + 17y²) dx (x+2)³(x²+9) y³ |(x+2)³(x²+9) Y - -1 3 tan-¹() =…

A: Given 5x2y2-xy2+17y2dx-x3y+2x2y+9xy+18ydy=0