Solve for the general solution of the given non-exact DE. y(y + 2x – 2)dx – 2(x + y)dy = 0 - -

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Q: Solve the given initial-value problem. (y? cos(x) – 3x?y – 4x) dx + (2y sin(x) – x³ + In(y)) dy = 0,…

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Q: Find the general solution of the differential cquations : d2y = e2* (12 cos 3x – 5 sin 3x) dx2 2.…

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Q: Solve the initial value problem e*dx + (e*tany + 2secy)dy = 0, y(1) = 2

A: Given that exdx+extaby+2sec ydy=0, y(1)=2. This is of the form Mdx+Ndy=0. M=exMy=0 And…

Q: Solve the separable equation y(3+ sin(z2))dy E cos()da subject to y(0)=-Va where a> 0 is a constant.

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Q: slove the initial value problem: (dx/dt)-5x=cos(4t) with x(0)=5 find x(t)

A: The given initial value problem is: dxdt-5x=cos4t with x0=5. The given differential equation is a…

Q: Find the general solutions to the given differential eguations y" – 2y' + y = x² – 1

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

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Q: *= 1- dy Q.1 Show that the function y = is a solution of the differential equation dx +

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Q: d'y dx? Find the general solution of +5 dr4 dy + 4y = 0using differential operators

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Q: y dx + 3y2x dy = dy; x(0) = 1

A: Exact Differential Equation An ODE M(x, y)+N(x, y)y′=0 is in the exact form if the following…

Q: Find the initial value problem of: dy/dx +(2/t)y = cos(t)/(t^2) given that y(pi) = 0 and t>0

A: Given

Q: dy %3D ху + 3х — 2у — 6 dx -

A: We have dydx=xy+3x-2y-6 Now, we can write it as…

Q: Find the function y = y(x) which satisfies the separable differential equation dy/dx = 8+11x/(xy^2)…

A: Given differential equation is dydx=8+11xxy2y2dy=8+11xxdx Integrate both sides.…

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: Solve the differential equatons (2x + Y I+ x²yª 1. dx 1+ (xy)2/ dy

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Q: Apply Euler's method to approximate the solution y(0.6) of the initial value problem dy =y-X - x² +…

A: The solution is given as

Q: 1. Find the general solution of dy dx + y = x

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Q: VT - ỷ dx – VT-x dy = 0, y(0) V3

A: We have to solve given problem:

Q: Find an explicit solution of the given initial-value problem. dy = y sin x? , y(-2) = ; dx

A: The given equation is: dydx=y2sinx2, y-2=13

Q: 6) Solve the homogeneous differential x2 + y? dy quation dx 2xy

A: on solving this we get

Q: dy %3D 1 + x + and f(0) = 1, find the particular solution to the differential equation. - dx

A: Given,           dydx=1+x+x22 and f(0)=1

Q: Find The complete Solution of the differential eqution y" +24+4y=cosx Subjected to The condition…

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Q: Show that the particular solution of the differential equation d'y dx? dy -3 +2y = 20 sin2x dx is y…

A: We have to solve

Q: 1. Find the general solution of dy dx +y=x

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Q: Obtain the general solution for the differential equations: (4) tan ?y dx = sec x dy (5) xy'dx +…

A: It is given that the differential equation is tan2ydx=sec2xdy, Using the method of variable and…

Q: The solution of the IVP (y+ e – 2e)dx + (1+ e")dy = 0, y(0) = 0 can be found with the help of the…

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Q: Find the general solution of (x-4y)dx + (x+2y dy) = 0

A: Given

Q: dy 2. Solve the differential equation dx? dy +3- - 10y dx dy = 1 and dx 2 at x = 0 using = 10 when y…

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Q: Find the particular solution to the given differential equation that satisfies the given conditions.…

A: Given the differential equation, y''+y=5x+cos2x                       ..........1y'=0 and y=5π when…

Q: dy-5+4y =16x+20e" dx ; y(0) = 0, y'(0) =1 dx

A: Given differential equation d2ydx2-5dydx+4y=16x+20ex. The Auxiliary equation is…

Q: Find an explicit solution of the given initial-value problem. x2 dy = y - %3D у — ху, у(-1) %3D -1…

A: Firstly we will solve the given differential equation by using variable separable form then…

Q: Find all initial conditions such that (x^2-x)y'=(2x-1)y has no solution, precisely one solution, and…

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Q: Find an explicit solution to the initial value problem dy/dx = 2xy +3y, y(0) = -2

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Q: Find the particular solution of the equation 2(x +3) dy – xy dx = 0 %3D - tisfying the initial…

A: Given: 2(x+3)dy-xydx=0     satisfying the intial condition x=-2 and y=1

Q: H.W: Solve the differential equations: dy 1. +2y=ex dx dy 2.2-y=ex/2 dx

A: To solve the differential equation:

Q: Solve the separable differential equation dy 11x – 4yyx? +1 0. dx Subject to the initial condition:…

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Q: 1. e (3xy-x)dx+e* dy = 0; when x = 0, y = -1 4 Ans. y =-- 1 3

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Q: Solve the separable differential equation dy = 0. 8x – 6yVx? + 1 dx to the initial condition: y(0) =…

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Q: If we solve the DE y dx + 2x dy =0 after converting it to Exact using an integrating factor, then…

A: The solution is Option 4  2.x12.y =c

Q: Use the method of undetermined coefficients, to solve the differential d²y +y = e* + x³ given that…

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Q: (2х — Зу)dx + (2у — 3x)dy %3D 0 =

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Q: The solution of dy=(6+2y)dx subject to the initial condition y=0 when x=0 is

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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: Find the general solution of the given higher-order differential equatio y(4) + у" + y" %3D 0 y(x)…

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Q: Solve the differential equation d?y dy 22 +2y=3e* cos 2x, given that when dx dx2 dy x=0, y=2 and =…

A: Given differential equation is  d2y/dx2-2dy/dx+2y=3excos2x  Initial Condation: y(0)=2 ,y'(0)=3

Q: Find the solution of the differential equation dy dx = 5 x cos?(y) which satisfies the initial…

A: Given: dydx=5xcos2y For finding solution of given differential equation, we will use variable…

Q: (1 – xy)-2 dx + [y² + x²(1 – xy)¯2] dy = 0; when x = 4, y = 1.

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Q: Solve the initial value problem dy/dx=(x+y+1)2-(x+y-1)2  where y(0)=1/2

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