Solve for d,. 5(d, -d2) = W.

Q: 2. (- x) dx + 2r y dy = 0

A: Disclaimer: Since you have posted multiple question, we will will answering teh question number 2…

Q: the general solution of DE d2y/dx -5dy/dx+6y=e4x

A: I have used method of undermined coefficient to solve the differential equation

Q: If y = (x² + 7)°, find d²y dx

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Q: d'x +x=f(t), if x =x' = 0 for t = 0. Solve d?

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Q: solution of the diffe d x; y(1) = 0, d:

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Q: Integrate the FF 2) dv Y Cy+z2)

A: We will integrate function of V=v w.r.t. v and function of y w.r.t. y and

Q: solve D.E (Z+3j) du – 2xydy = 0

A: Given problem:- (x2+3y2)dx -2xydy=0

Q: Solve the given equation. (2xg2-24) dn + (32?y-4) dy=D

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

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Q: S'(1 + v=)dz b)

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Q: If i = (x1, 2, X3) |#| = Væỉ + a3 + až dæ = dæ1dx2dx3 Calculate -dx -e R3

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Q: The solution of (D² – 4D+13)y 0 5 2x (A eix . Be Jox (A ex + Be)

A: D2-4D+13y=0 The auxiliary equation is m2-4m+13=0 ⇒m=4±-42-4132⇒m=2±3i

Q: d 3 4тe-m? dy -m² dm y

A: Note that, the fundamental theorem of calculus says: If F(y)=∫ayf(m) dm then ddy∫ayf(m) dm=f(y)

Q: Solve for m | |m8xy+x)dxdy=3, 0<y<x<1

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Q: Solve the given by simple substitution (2x + y)² dx - 2dy = 0

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Q: Solve the equations by the method of undeterminedcoefficients

A: First, consider the homogeneous case d2ydx2+7dydx=0. We solve the auxiliary equation as…

Q: If x?y + 3y = xtan(y) + 2x d²y Find the value of dx2"

A: Consider a function defined as shown below: f(x,y)=g(x,y) These types of functions are called…

Q: Solve for i in terms of Ve, a, and d) V2=DV;²-2ad %3D

A: Do the mathematical operations for that.

Q: b) S(2cosx – V) dx

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Q: what is the general equation to the equation d°ycK) dy 2. dx² dx

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Q: SOlve the differentilal equation d²y d*y 4- d³y + 7. dx2 14 | dx+ dx3

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Q: dy + my = p, solve for y

A: Given quadratic equation : dy2+my=p ⇒dy2+my-p=0

Q: Solve the given DE. (D³ + D² + D+ 1) y = 0 ; y (0) = 2, y' (0) = 2, y" (0) = -4

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Q: Solve the following d'y 8- + 16y = 9e2 dx? d'y dx4 using the method of undetermined coefficients.

A: The solution is given as

Q: Solve by using the method of d'y dx² dy + 2x dx undetermined coefficients : + (x2 + 5) y = xe-xn

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Q: Find the solution. d3x d?x d³x dx + 2 =0 dr3 dr? dt

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Q: Find the solution of the dy Qoec() +y d'ifferential equation.

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Q: If y = 2x² then dy dx 11

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Q: d?y 2x + 2y = x*e* dx2

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Q: Find d?y/dx2 for the following equations: e) xy + y2 = 1

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: d*y d?y 4. dt2 24 dt4

A: Given differential equation can be evaluated as shown below

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

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Q: Find the solution. ,dy --y²=2xy dx A y B y = -(- -1 D 2x x-2

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Q: Solve for x and y:                                     ax + by = a – b and bx – ay = a + b

A: given:

Q: Obtain the general solution unless otherwise instructed a.) (9D4 + 6D3 + D2)y = 0 b.) (4D4 − 45D2…

A: (a) Consider the given equation. 9D4+6D3+D2y=0 Convert the equation into the characteristic equation…

Q: Given (D3+D)y = (secx)2. Solve for W2

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Q: Solve D.E. y" – 4y' + 5y = 0

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Q: SOLVE THE DIFF EQ (ху-бх?)dy - (2y2-9ху)dx

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Q: Solve the following D-E 2) y³y" – 3y*y' = 0

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Q: Solve the Fo (lowin) D-E e* y+2 ey =2X 2X

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Q: Find d²y/dx² for the following equations: e) xy + y² = 1

A: Given equation is xy+y2=1 find d2ydx2

Q: Given x=2t2+1 and y=t4-3, find the formula for d2y/dx2

A: Given the values of x and y. We have to compute d2y/dx2.

Q: Given x=2t2+1 and y=t4-3, find the formula for d2y/dx2

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Q: dy If y = e4a+19 then dx

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Q: Find d²y/dx² for the following equations: e) xy +y2 = 1

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Q: If x² + d'y y? = 1, then dx?

A: Given that: x2+y2=1 To find : d2ydx2

Q: Find the general and the particular solution: d²u du = 4(1 + 3v)²; u = -1,and = -2 when v = -1 dv²…

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Q: Solve for the values of Ay and dy if y= f(x) =x² + 2x? – 3x + 5 and x changes from 2 to 2.10.

A: Given: y=fx=x3+2x2-3x+5 And x1=2 &amp;  x2=2.10  a). We know that; ∆y=yx2-yx1 So,…