3. Choose one of the following first-order equations to solve. dy (x² + 1): + 3x(y – 1) = 0 dx а. %D

Q: 4. Solve the initial value problem. dy a. = 3e* →, y = 6, when x = 0. dx %3D %3D

A:

Q: Determine whether the following equation is separable. If so, solve the given initial value problem.…

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Q: 15. Solve d²y +3 y + 2y = 3 sin x, given that when x 0, y =-0-9 Wor, OFer dx? dx dy =-0-7. dx and…

A:

Q: dy .Solve the initial value problem +2y=e", y(0) =-1. dx

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Q: Find the General and Particular solution of dy/dx = 4y ; y = 3, when x = 0

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Q: Given the initial condition y(0) = 1, find the particular solution of the equation

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Q: Determine whether the following equation are separable. If so, solve the initial value problem.

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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: Solve the initial value problem. √y dx + (x-4)dy=0, y(5)= 36

A:

Q: Solve the initial value problem dy (x - 1) 9 = (x + 1)(y – 2), given y(2) = 3. dx %3D %3|

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

Q: Find the general solution of dy xy = 1+ y?

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Q: Find the solution of the following initial value problem d2y/dx2 + 2 dy/dx − 3y = 12ex ,  y = 0 and…

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Q: y_x + y х х — 1 dx

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Q: dy - y = xy2 dx

A:

Q: c) Obtain a general solution of + ! dy dx Y = sin x.

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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: 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: Proceed as in this example and find an explicit solution of the given initial-value problem. dy = y?…

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Q: 4. Solve the equation using homogeneous equation (x– 2y)dx+(2x+ y)dy = 0.

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Q: Solve the initial value problem. dy Y= 8x e*, dx x y(1) = 8 e +9

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Q: dy + xy = xe*/² , y(0) = 1. dx 7. Solve the initial-value problem:

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

Q: Find the solution of the following initial value problem. dy = 3 x², y(0) = 9 dx y =

A:

Q: Solve the given initial-value problem. dy 3D х+ 4y, у(0) %3D 6 dx y(x) =

A: Given that dydx=x+4y , and y(0)=6We need to find the solution of above differential equation.

Q: Solve the initial value problem. dy + 7xy = 4x, y(0) = - 6 dx y =D

A: Given : Now,

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

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Q: Solve the bernoulli equation dx/dy+(2/x)y=-x^2y^2cos(x)

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Q: 1. Solve for y, using the method of successive approximation. dy dx = x + y; y(1) = 1

A:

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: Find the particular solution to DE:  2xy dx = ( x^2- 2y^3 ) dy ; y ( 0 ) = -2

A:

Q: dy +y=(x-1)y' dx

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Q: Find the solution of the initial-value problem dy + 32?y = x², y(0) = 2. dx

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

A: Given differential equation is(x+y)dx+(x-y)dy=0Here, M=x+y and N=x-ythen ∂M∂y=1 and…

Q: Solve the initial value dy/dx = 1/x2 + 1 - 1, y(0) = 1

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Q: Solve the given initial-value problem. dx y = 5y², x(9) = 1 dy

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Q: dy Solve the initial – value problem: = y² given that f(0) = -1 dx %3D

A:

Q: Q20// when x3+y3+x?y xy2+x3 dy %3D dx find the general solution?

A: Given differential equation is  dydx=x3+y3+x2yxy2+x3 the given differential equation is homogenous .

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: Solve the initial value problem dy (x – 1) = (x + 1)(y – 2), given y(2) = 3. dx |3D

A: According to our company policy, we are supposed to answer the only first question. In the first…

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

A:

Q: Find the General and Particular solution of dy/dx = 3y ; y = 3, when x = 0

A: The formula for integration of fractional function is given by: ∫1x=ln|x|. Given: dydx=3y ; y=3 when…

Q: Solve the initial value problem: (e + y) dx + (2 +x + ye") dy = 0, y(0) = 1

A: We have to solve the initial value problem…

Q: Solve the initial value problem. dy + 5xy = 8x, y(0) = - 6 dx y =

A: topic - differential equations

Q: dy x²+5y? y(1) =1 dx 4лу

A:

Q: Solve the initial value problem. dy 2xy = 8x, у(0) — 0 dx y =

A:

Q: Solve the equation (4y+2x– 5)dx + (6y +4x– 1)dy = 0 subject to the initial condition y(-1)= 2.

A: Consider a first order linear homogenous differential equation of the form, Pdx+Qdy=0→1 where P=fx,y…

Q: Find the general solution of D.E. below: (x-2y) dx + (2x+y) dy = 0

A:

Q: dy Solve the Initial Value Problem: X- dx +y=x°y* subject to y(1)= 2.

A: Given: xdydx+y=x3y4 , y(1)=2 rewrite given equation dydx+yx=x2y4      Bernouli's…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.