state where in the ty-plane the hypotheses of Theorem are satisfied 6. y′=ln|ty|1−t2+y2

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A: A separable differential equation is any equation that can be written in the form. y′=f(x)g(y). The…

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Q: Obtain the particular solution for the following set of differential equa dy = (4x2 + 7xy +2y²)dx;…

A: Given that: x2dy=(4x2+7xy+2y2)dx        and when x=2, y=0

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Q: 2. Find the differential dy for each of the following: A. y= x - 2x + 1 +e* B. y=- 2)

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Q: y(4) – 4y" + 4y" – 16y' = 4x? 3xe4 + 2 cos 4x -

A: The solution are next step

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A: We solve the given ODE  (sec(y))2y'-3tan(y)=-1 ......(1)

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Q: Show that x?e* H,(x)H,(x)dx = 12"n!| 18.2.4 This integral occurs in the calculation of the…

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Q: Solve from t 0 to 3 with h = 0.1 using Euler's method, dy = y sin t, y(0) = 1 dt

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Q: a) By using the Laplace transform, solve the following differential equation UTM y" + y = 1- H(t –…

A: As per our guideline we are supposed to answer only first asked  question. Kindly repost other…

Q: 4- 13 + 6y = 0 dx

A: We have to be find

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Q: 1. -ay + A sin dy 2 = Br, dt

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Q: Find a solution to dA/dt=5A If A(0) =4. A(t)=?

A: Given that  dA/dt=5A If A(0) =4. To find A(t)

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Q: Let A and k be positive constants. What is a solution to dy/dt=k(1-Ay)

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Q: Consider the DE " – xy 15y 2x – 4 | | A) Verify that yı = x and y2 = x satisfy the DE: xy" – xy -…

A: Variation parameter method

Q: 1. Determine the following indefinite integrals: S (Ax-1 - Bx-3 + Vx") dx a) ez (wt) – cos(Ewt) )…

A: A=2.6, B=6.4, C=2.6, D=3.4, E=2.7 To find:-

Q: 1. Evaluate the integral Vi-x² ex?+y*dydx.

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Q: 1. у" + 2y' — Зу %3D sin(2x), У (0) %3 у'(0) — 0 |

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Q: Question 1 Employ integration by parts to compute dx = ax'e- + de + K.

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Q: 1. Prove if the given DE is exact or non-exact and find its general solution. (2xy - 3y)dx + (x² –…

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Q: In 3 In 2 5. exty dy dx

A: ∫0ln 3∫0ln 2 ex+y dy dx First integrate inner integral        ⇒∫02 ex+y dy=∫0ln 2ex·ey dy=ex…

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Q: Find a formula involving integrals for a particular solution of D.E y" + 3y" – y' – 3 y = tan x

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A: According to the given information it is required to solve the differential equation:

Q: dy dx (xy + 1)2 9.

A: Given- ∫01∫01xxy+12dydx To Find- The value of the above integral. Concept Used- As the above…

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Q: Find the exact value of the integral. Question 1 4 V2 + x'dx dy

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