2 d (t3 + 5)?e2t dt dx

Q: y? If dy 1 then find the value of at the point (-3, 2) 62 dx 62 2a? -362 2a? 362 2a? 3a? 262 +

A: Given that, x2a2+y2b2=1 We need to find the value of dydx at the point (-3,2)

Q: Solve as required : Given : Z = 3x?y³ – 4x*y? From the given, solve the following: Əxðy dx²Əy 2. 1.

A: It is given that, z=3x2y3-4x4y2. 1. Find ∂2z∂x∂y as follows.…

Q: It is given that h(1) = 12 and f h' (x)dx = 17, determine the value of h(4 O 21 0 5 O 29 O 37

A:

Q: " Show that the substitution JAx + B| = 'e², or z = In |Ax + BỊ, will reduce the equation dy a(Ax +…

A: I have used the given substitutions to reduce the equation

Q: Determine for which values of m the function 4(x) = x" is a solution to the given equation. Ta) 2x…

A: Hey, since there are two questions posted, we will answer the first question. If you want any…

Q: Find the complete or particular solutions of the following dif- ferential equations: 4x + xy 1. dy…

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Q: Match the mathematical statement and the steps to arrive the correct answer of the given DE…

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Q: Solve the following DE: (2xy? + 3x²) dx + (2x²y+ 4y³) dy = 0 O a²y? + 3x? + 4y³ = C O a?y? + x³ +…

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Q: x4+a* dx x3 5. S ydy Va?-y2

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Find all values of the constant c so that .2 (xy + 1)dy dx = 4 + 4c.

A:

Q: dy x*y3 = X dx and y(0) = 2.

A: find the solution of the given differential equation

Q: Obtain the value of P3 (x) using Rodrigues' formula d" P,(x) = (x² – 1)" (2")n! dx"

A:

Q: Solve the following first order equations: (a) (x²y? + 1)dx + 2a²dy = 0, use the substitution ry =…

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Q: Describe verbally how to solve y=mx+c? What assumptions have you made about the valuje of x

A: To describe verbally how to solve y=mx+c.

Q: Solve the following DE: (2æy + 3z?) da + (2x²y+4y) dy = 0

A:

Q: ance Y metres .12 red by a body in t given by s = 3t? - %3D he body will stop after

A: The distance covered by a body n t seconds is given by S=3t2-8t+5. The body will stop when the…

Q: Q1. Solve the following first order equations: (a) (r²y² + 1)dx + 2x²dy = 0, use the substitution ry…

A:

Q: у dx - ( х + х2 у) dy %30

A: Given differential equation is ydx−x+x2ydy=0.....1. First we have to reduce the given differential…

Q: Find the solution of the following BVP given that y(0)=2 and y(1)=0. d’y_12dy. dx +36y = 0 dx

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Q: a.(2y²+2y+4x² ) dx + (2xytx )dy =D0

A: The solution is given as

Q: Find the solution of given D.E x?(1 – x)?y" + 2xy' + 4y = 0 |

A: Given:- x2(1-x)2y''+2xy'+4y=0 ⇒y''+2xx2(1-x)2y'+4x2(1-x)2y=0 Standard form…

Q: a) Find the values of A and B if - {(x² + Ax + B)e*} = x²e* dx Hence, evaluate S, x²e*dx

A:

Q: Solve h=ab+rh=ab+r for a

A: Given     h= ab + rh We can solve for a by separating it

Q: a-d

A:

Q: Find the value of the secant for ZR. 3)14 14 а. b. V5 с. d. 3 R O A

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Q: Q:Solve the following: x'y" – 3xy' + 4y = vx, x > 0

A:

Q: Find r'(t) r(t) = 8/ti + t?Vij + In(t² )k

A: We will solve the following.

Q: У(2x? — ху + у?)dх — x? (2х — у)dy %3D0;B у(1) - H IN

A: Use homogeneous equation

Q: B2. dx Let g(?) = " 4t

A:

Q: The value of k so that (y³ +kxy* – 2x)dx + (3xy? +20x?y³ )dy = 0is an exact equa is: а. 10 С. -5 b.…

A: A differential equation of the form Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x

Q: 5. (4x3 — 6ху?) dx + (4y3 — 6ху) dy 3D 0

A:

Q: Given that (r²- (x² – 4)? y = x>2 show that Ax² + 12 dy x>2 dr x*(r² - 4)? where A is a a constant…

A: From property of derivatives,

Q: 3. (x2 + у2 + 1) dy +хydx%3D0

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

Q: If A= ACH) find the A? m d2 A RT dA 2. dt

A: We have to find the characteristic equation and solve for homogeneous solution.

Q: O Show that the substitution r = e' reduces the equation ax?y" + bry/ + cy = g(x) to an equation…

A:

Q: 6. 2y²e»² dx + 2xye»*dy = 0

A:

Q: 3- Solution of the following equation * dy 2 d?x = 2(3+ x2 - xy)/x³ dx

A:

Q: Using Formula 2 with f(x, y) = x + 2y, we get A = || V(2x)² + (2)² + I dA = [" [* /4x² + 5 dy dx - =…

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Q: If f,(x? + k) dx = 16, what is k? %3D А.- 12 В.-4 С.0 D. 4

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Q: Given (x + 6y? ) dx - 4xdy = 0, when x = 1, y = 1. Find the particular solution.

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Q: (y4 – 2xy)dx + 3x²dy = 0; y(2) = 1

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Q: ye'xdx (4 + e?x)dy

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Q: The particular solution (when x = 1, y = 0) of уe* + xе* + 6——4 |dx + х еx — 4 + y cosy dy = 0 has…

A:

Q: given fro)=5 TR-x) Jet On both side intergrel fcx) と mx2. +c f(0)<0+C fox)L mx2 t5 fcs)<M(S)と45 Pis)…

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Q: D. Solve the following by Linear Equations Method. 1. (x* + 2y)dx – xdy

A: As per bartleby guidelines i can provide you only one answer,

Q: 7. (x dy – y dx) = 0 x² + y?

A: We are given a differential equation  1x2+y2(xdy-ydx)=0 We have to determine whether it is exact or…

Q: Q/ Solve the DEs: 1-a+yxdx+(1+x)dy = 0

A: 1-(1+y2)dx+(1+x2)dy=0

Q: 1 By using completing the square, dx can be rewritten as Vx?-4x -7 1 dx V(r- 2)² – 3 1 V(r- 2)² – 11…

A: x2-4x-7 = (x-2)2-11

Q: Given that y = px? – qx (where p and q are constants), find dx2

A: