2. Find the general solution of d'y d'y + 12 dr Sy 21e dr

Q: 2. Solve the general solution for the First Order Linear DE. удх %3D (еУ + 2ху — 2х)dy

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Q: 2. Solve the following initial value problem. dy = sin(Tx) dx? y/ (1) = y(1) = 0. - -

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Q: 4. Find the solution of the following set of simultaneous equations by LT with conditions y(0) =…

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Q: Solve the following initial value problem: dy + 0.4ty = 3t dt with y(0) = 5. y =

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Q: 2. Let y(x) = tan r. Show that y is the solution to the initial-value problem %3D dy =1+ y, y(0) =…

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Q: (1) 3 dy + y = dx 3 Find the general solution to: 1. -

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Q: 5. Find the general solution of (6x² – 7y²) dx – 14xy dy = 0

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Q: Solve for the particular solution of the following non-homogeneous DE. y''+y=2x

A: This question is based on solution of differential equations.

Q: Find an explicit solution of the given initial-value problem. dx 8(x2 + 1), dt IT 1 %3D 4

A: We need to find explicit solution.

Q: Find an explicit solution of the given initial-value problem. x2dy 3D у - ху, у(-1)%3D -4 dx

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Q: The IVP: y =t/y+ sin t; 1sts2, y(1)= 0, has a unique solution Select one: True False

A: Given, y'=ty+sint, y1=0, 1≤t≤2

Q: dy 2 %3D

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Q: Show that the family of circles (x+1)2 + (y-1)2 = c2 can be interpreted as two families of solution…

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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: 4. y" - 5y' + бу %3 -sin(2x)

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Q: xy²dx + e*dy = 0

A: Given differential equation is xy2dx+exdy=0

Q: 6 By Separation of variables, Solve the following 5 PDES :- d²4 d24 dx² 0 o u(e,t) = u(s, t) =6…

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Q: Solve the following initial value problem. dy 1 --X, x> 0; y(6) = 3 dx x2

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Q: dy (x + 1)+ y = In x ;y(1) = 0 %3D

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Q: Solve the initial value problem. dy + 9xy = 4x, y(0) = - 3 dx

A: This question is related to differential equations, we will solve it using given information.

Q: . (2y4 + x4) dx − xy3dy = 0

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Q: 6. What is the general solution of the following differential a²ycdy d²y dx2 dy equation -5 +4y=0)(4…

A: Given: differential equations are, d2ydx2-5dydx+4y=04d2ydx2+6dydx+2y=0 To be find: solution of given…

Q: 2. Find the general solution of d²y dy +5- dr.² dx 6y=0

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Q: Find the general solution of the given Attached equation

A: Differential eq:9d2ydx2+6dydx+y=0The auxiliary eq is 9m2+6m+1=0

Q: Express the solution of the following initial value problem in terms of an integral. dy 6+x У (6) %3…

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Q: Solve for the particular solution of the following non-homogeneous DE. y” – y’ = 2sin 2x

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Q: 4. Find the solution of the following set of simultaneous equations by LT with initial conditions…

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Q: 4. Solve the Bernoulli DE: dy + y = e*y¬?. dx x.-2

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Q: the solution to the IVP(x2+y2)dy/dx+xy=0 with y(0)=2 is

A: Given DE is x2+y2dydx+xy=0  and y(0)=2 find the solution of the DE

Q: Solve for the particular solution of the following non-homogeneous DE. y”’ + y” = 3

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Q: ydx -(x +3y)dy = 0 Ans. x = 6y In

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Q: Please help. State P(x), Q(x), and integrating factor v(x).

A: Given,

Q: 3. Solve the problem y(t) – y(t) = 4t with initial condition y(0) behavior of the solution as t → o…

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Q: Express the solution of the initial value problem dy 2x- dx as an integral = y + 2x cos x, y(1)= 0

A: Simplify and convert in linear equation.

Q: Find the general solution of DE:  1. (x-4y-3)dx - (x-6y-5) dy = 0

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Q: Find the general solution of each of the following Homogeneous DE: 2.) 3(x2 + y2) dx − 2xydy = 0

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Q: Find the general solution of d²y dt² + dy + 20y=e-2t sin(4t).

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Q: az dz 10. Compute and for the following equation. dy ,3 eY + xz2 6xy*z³ %D

A: The given equation is: ezy+xz2=6xy4z3...(1)

Q: Find the general solution or particular solution of each of the following DE's . (y²– 2r³) dx – 2xy…

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Q: #3. Solve the fallowing Caucly problem in R" x(0,0) U4-Ou t cu = 0 u =9 On IR"x{t =0}. where c is a…

A: Given the Cauchy problem as  ut-∆u+cu=0,       in ℝn×0,∞           (1) re-write the equation (1) in…

Q: Solve the following initial value problem (t^2-12t+27)dy/dt=y with y(6)=1 On what interval is the…

A: Solution is given below:

Q: 4. Show that 3x²e"dx + (x*e" – 1)dy = 0 is an exact equation and then find the solution.

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Q: (2xy +y) dx + (x²- x ) dy = 0

A: Given: (2xy+y)dx+(x2-x)dy=0, y(0)=e

Q: 4. Find the general solution of y"- 4y – 12y = 5le sin(3r).

A: To find - Find the general solution of y'' - 4y' - 12y = 51exsin3x

Q: 4) (xy² + X - 2y +3) dx + x²y dy= 2(xt y) dy; when x-

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Q: Solve the following equation using Bernoulli D.E. a. Substitution method 2. 3(1+t²)dy = 2ty(y³ –…

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Q: Find the solution to initial value problem d²y di? dy 14 + 49y = 0, y(0) = 1, y'(0) = 4 dt

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Q: Solve for the particular solution of the following non-homogeneous DE. y''-2y'=ex

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Q: Find an explicit solution of the given initial-value problem. dy y (2) = 2 %3D dx x2-1

A: An equation which involves the derivative or differential coefficient is called differential…