Find the particular solution. (Remember to use absolute values where appropriate.) dy = dx; y(1) = 2 -2)-

Q: Solve the given initial-value problem. dx y - X= = 5y², x(8) = 1 dy x(y) = Give the largest interval…

A: Given that,   ydxdy-x=5y2, x(8)=1

Q: The general solution of the D.E.  ( x + y)dx + (x-y)dy = 0.

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Q: Determine whether the equation is exact. If it is exact, find the solution.…

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Q: Find the solution to the initial-value problem. dy dx = y3xex2, y(0) = 1 y =

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Q: Obtain the general solution to the equation. dy y 5x +1 + dx The general solution is y(x) = ignoring…

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Q: Solve the given initial-value problem. dx x = 6y2, x(9) = 1 y - dy x(y) = Give the largest interval…

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Q: dy Solve for the value of C in the equation: (1-2x)dx when y(0) - 1 3y3 3

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Q: (x + y) dx + (3x + 3y - 4) dy = 0

A: given differential equation  x+ydx+3x+3y-4dy=0 solution let y+x=u differentiate dy=du-dx…

Q: Solve the given initial-value problem. dy = x + 6y, y(0) = 2 dx y(x) = Give the largest interval I…

A: Given differential equation is first order linear differential equation. first we will find the…

Q: Solve the initial value problem. dy y =xex, y(1) = e +8 dx x The solution is y(x) = %3D

A: dydx-yx=xex,  y1=e+8 Comparing with dydx+Py=Q, we get P=-1x  &  Q=xex  Now integrating factor…

Q: Obtain the general solution to the equation. dy (x2 + 18) + xy - 6x = 0 dx The general solution is…

A:

Q: You are given a first-order D.E. = x2 + y³ . Suppose the solution y(x) satisfies the initial dx…

A: dydx=x2+y3  and y1=-1

Q: How can we solve this separable equation? N(y) * dy/dx = M(x)

A: The given differential equation is, Where, N(y) and M(x) are the functions of the variable y alone…

Q: (x +2y-4) dx + (ax-4y ) ay Solve by Coerlaents linear in two variable

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Q: Solve the initial value problem. dy y = 5x ex, dx X The solution is y(x) = y(1)=5e-3

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Q: d.) (y³ + x ln ) dy + (y In ) dx = 0

A: we have to find

Q: Solve the equation dy dx? В - w(1 — х) — 0, | subject to the conditions that y = 0 and dy dx when x…

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Q: Solve the given initial-value problem. dy dx +y=6x + 1, y(1) = 5 y(x) = Give the largest interval /…

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Q: Solve the given initial-value problem. dy dx y(x) = = x + 4y, y(0) = 6 Give the largest interval I…

A: Given differential equation is dydx=x+4y, y0=6.

Q: Find the general solution of dy/dx =(1+y^2)e^x. Write your solution y, as a function of x.

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Q: Q2. Find the general solution of the equation. dy 2(1+y?) dx Find the particular solution that…

A:

Q: How To Solve It? Which Method? dy/dx-dx/dy= x/y- y/x

A: ∫(1/y) dy  =log y +c ∫ (1/x)dx = log x +c  ∫  ydy  =(y2)/2   +c  ∫ xdx   = (x2)/2   +c log(a)+log (b…

Q: Solve the given initial-value problem. dy = x + 4y, y(0) = 6 dx у(x) %3 Give the largest interval I…

A: Solution

Q: Solve the initial value problem. dy y = 7x e*, y(1) = 7 e - 7 %3D - dx The solution is y(x) =

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with   so here we have

Q: Obtain the general solution to the equation. dy (x? + 2) + xy - x= 0 dx The general solution is y(x)…

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Q: Solve the equation: (x-2y) dx + 2(y-x) dy = 0 Answers should be within these givens. x2 – xy + 4y2…

A: Let's find.

Q: dx -dy = 0 4. Solve

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Q: Obtain the general solution to the equation. dx + 4x = 2y7 dy The general solution is x(y)=,…

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Q: Obtain the general solution to the equation. dy y + 2x + 1 dx X The general solution is y(x)=,…

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Q: (1 + y²) dx + (x²y + y) dy = 0.

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Q: Obtain the general solution to the equation. (x² +19) dy dx + xy - 2x = 0 The general solution is…

A: Using integrating factor method

Q: 4. Solve dx - dy = 0 xy-1 xay

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Q: Find the general solution using The Linear Equation of the Order One (STEP BY STEP SOLUTION PLS)…

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Q: Solve the Bernoulli equation dy x+y = -2x“y* dx

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Q: Obtain the general solution to the equation. dy y dx X + 9x + 7 The general solution is y(x)=,…

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Q: the solution of thethe solutions of the dy/dx+ ytan(x)+y³xsec²(x)=0

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Q: (x - 2y)dx + (2x +y + 5)dy = 0 identify if the case of the DE etermine its general solution. a. b.

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Q: Solve the given initial-value problem. dy = x + 4y, y(0) = 6 dx y(x) = Give the largest interval I…

A: Sol:-      Given dydx=x+4y         dydx-4y = x     Integrating both sides,         ye-4x=∫xe-4xdx…

Q: Obtain the general solution to the equation. dy + 9x +8 - dx The general solution is y(x) = ,…

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Q: Determine the solution y(x) of the initial value problem dy = 6xy, dx y(0) = 7 and state the…

A: Given:     dydx = 6xy        , y(0) = π

Q: -2Y 1) e ** dx-e dy =0; y=0 when x=0

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: he initial value problem dy/dx = xy, y(0) = 0 has no solution. Is this True or False

A: Given: dydx=xy, y0=0 Using variable separable dyy=dxx Integrating both sides, we get  logy=logx+logC…

Q: Solve the initial value problem. dy 3 = x° (y-2), y(0) = 9 dx The solution is

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Q: Determine the general solution of y = (3y³ + x) dy/dx & give the method of solution

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Q: 1) 1+e" |dx+e" (1- xydy =0

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Q: Solve the initial value problem. dy y = xex, y(1) = e +5 dx X The solution is y(x) =

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Q: find the general solution of the given equation. d2y/dx2 + 4 dy/dx + 4y = 0

A: d2ydx2+4dydx+4y=0 The auxiliary equation is, r2+4r+4=0⇒r+22=0⇒r=-2

Q: Solve the Bernoulli equation dy + xy = xy dx y = (ce²² – 1)-} .B y = (ce² +1)-} .C y = (ce²² + 1)-}…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Solve the initial value problem. dy =x°(y-3), y(0) = 7 dx The solution is (Type an implicit…

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Q: Solve the equations by variation of parameters. d2y/dx2 -dy/dx = ex cos x, x> 0

A: d2ydx2-dydx=excosx

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.