The D.E. is d²y dx2 + xy = x³y3 second order and second degree third order and second degree O second order and first degree

Q: finn D2:- knowing thet fcxy,Z)= tavm of C in dx そ= X+y Z= X

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Q: What is the point of intersection of the given DE (x + 2y – 1)dx – (2x + y – 5)dy = 0 ? Select the…

A: Given,  DE : (x+2y-1)dx-(2x+y-5)dy=0

Q: Let y3 - 4x = 2xy. Find d2y/dx2. Show work please.

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Q: За - За - у 314 а^ За '(x² + y? ) dx (b) 2a S" L (x² + y²) dy dx Ans. (a) [" dy [V" (1² + y²) dx +…

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Q: d²y · given that y = (2x + 3)²(5x – 1). 9 find dzy dx2 %3D

A: Please refer to the image below.

Q: Q4) Choose correct answer : rtan-(cotx) dy dx = i) So 10n а. 44 15n b.- 44 20n С. 44 d. 1-n 2

A: Given: ∫01∫0tan-1cotxdydx

Q: Find dy/dx and d²y/dx2 for r = t2 +t +1 and y = t2 + 2t - 1.

A: given that x=t2+t+1 and y=t2+2t-1 we have to find dydx and d2ydx2 Now,          dydx=dydtdxdt…

Q: 2x If y= e, then %3D dx² a. 2x O b. 6e²x 2x 4e²* Od. 2e²*

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Q: Find dy/dx If y ex A 2/א"e ],/איe D-2V B.

A: We have to find dy/dx.

Q: Find the value of d2y/dx2 at the point defined by the given value of t. x = t, y = 2t, t= 5 1 10 V10…

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Q: d?y dy I+ dx 13 What is the degree of the DE dx2 (А) з (B 1/2 2 D

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Q: dy ·Given y = 2u² and u = 8x- 1, then dx

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Q: d?y What is the degree of the DE dy 3 dz 2 dx A 3 2 1/2

A: Degree: the degree of the differential equation is defined as the exponent of the highest order…

Q: dz where C is ned by x = 0, :

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Q: Q3/ Evaluate Vy +2 dy dx ba 2.x

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Q: d y then is dx? x=1-8t Suppose y = 5t* +2

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Q: Given that x2 -y² = 9, then dy/dx = %3D

A: Topic = Derivative

Q: (b) Given y = Ax + Ba?. Show that dy 2x- + 2y = 0. dx2 dx

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Q: O Find (a) |VT-x)/x dx, (c) (4-x*y² dx. Ans, ía) 1/60, (/) x/2. (c) 31

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Q: Given y = u28 and u = 5– 3x?, find dy/dx. A. = 168x(5 - 3x?)27 D. dx = -28x(5 – 3x²)²7 dx dy В. dx…

A: As we know that; The Power law: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2   (1). Given: y=u28…

Q: D. (a)S sec? 3x dx (b)S 2cosec2 4t dt 2cosec24t dt

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Q: II. Determine the order and degree of given DE d?y 1. dx2 = k[1+ dy/dx]³/2 Vdy/dx dx3 2.

A: Given Differential equation1.d2ydx2=k1+dydx32squaring on both…

Q: D. Compute in terms of x and y. dx

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Q: Solve the following diffential eauations a) dy + 4 y = e dy 3n2y = そ? ea3 dy C) N + 2y = そマ dn

A: We need to solve DE.

Q: Q3 / Find d²y/dx² for the following; d? 1. dx² (sec 3x)

A: # we are entitled to solve one question at a time ,please resubmit the other question if you wish to…

Q: d²y Compute dz? at the point (1, 2) given a² – y² = -3. a) 3 b) 4 9 d) 8 e) O

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Q: Find d2y/dx2   e4y+x=8y

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Q: dy If y = x (e* - 1), then %3D 6. dx

A: Given: y=x^2 ((e^ x)-1) To determine: d y/dx

Q: 80. If x? – y? = 1, find d²y/dx² at the point (2, V3).

A: Given: x2-y2=1 at 2,3

Q: d'y if-8x-7y = 10. Find %3D dx2 Provide your answer below: -口 dy dx² FEEDBACK

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Q: d²y + y³ = 0 is linear. dx² ylgn ihi

A: In mathematics, a linear differential equation is a differential equation that is defined by a…

Q: d²y What is the degree of the DE dx2 dy 1+ dx A 1/2 с) 3 D) 2 B.

A: Authoring guidelines:…

Q: (-y dx + xdy) = (a) d(xy) (b) d(y/x) (c) d{ In(xy) } (d) -d(x/y)

A: By quotient rule , duv = v du-u dvv2

Q: In x dx = n a, (a>0) 2a 23. Show that

A: Definite integration is the area of a region that is enclosed by the integrand. The function must be…

Q: Find formulas for dy and Ay if y = 7x – 7. %3D - dy = Ay =

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Q: dy Find dæ? for y = csc(x) d²y dæ² ||

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Q: dy Given y- xy2 - x²y=2. Then, at the point (1,2), -is Blark 1 dx

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Q: Find the solution of the DE 2(d2y)/dx2 - (dy)/(dx) - 6y = 6excosx when x = 0, y = -21/29, and…

A: To Find the solution of differential question  2 d2ydx2-dydx-6y = 6 ex cosx Final solution of above…

Q: dy is Q5. If e** =xy, then dx

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Q: 8tan4x dx. Q. S 3 None 8log|sec4x| + c 3 2log|sec4x| + c 3 2log|sec4x| + c 4

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Q: blö7 Q2: choose the correct answer If y = %3D t^2/(t^2+1) and t= v(2x+1) the dy/dx = %3D

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Q: f of If dx + In(7y), what is ? - дхду Select one: 1 7. а. дхду y y b. дхду - y + 7e?y С. дхду 1+e7y…

A: Option E is correct.  Make x constant

Q: Find, the, general solution of 2 dy + y = xe"Inx. dx²

A: Given the differential equation           y''-2y'+y=xexlnx Find the general solution.

Q: d'y dy - -2xe dx dx

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Q: dy If y = e4a+19 then dx

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Q: y=3e2x+3e3x prove that d2y/dx2+5dy/dx+6y=0

A: Given:

Q: 8e" Let g(y) Y + 8 dg Determine dy

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