Find an explicit solution of the given initial-value problem. dy/dx = y2-1/x2-1 , y(8) = 8

Q: Find the particular solution of the differential equation that satisfies the initial conditions.

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Q: Find the particular solution of the differential equation that satisfies the initial conditions.

A: The given differential equation is in variable separable form. Hence, an be solved using simple…

Q: Find the general solution of the differential equation. dy = 3v dx y =

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Q: Find the solution of the differential equation that satisfies the given initial condition. xy' + y =…

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Q: Find the solution of the differential equation that satisfies the given initial condition. xy' + y =…

A: The given differential equation is  xy' + y = y2, y(1) = - 10

Q: Calculate the value(s) of C for which y=x'-2C is a solution to the differential equation dy -3y-54 =…

A: We have to find the value of C

Q: Find the general solution of the differential equation.

A: The general solution of a differential equation is an expression of y in terms of x. To find the…

Q: A particular solution of the differential equation y''+2y'+y=e^x is:

A: A particular solution of the differential equation y''+2y'+y=e^x is:

Q: Find the particular solution of the differential equation yy' – 2e* = 0 that satisfies the initial…

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Q: Find a general solution of the differential equation dy/dx = y2. 29.

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Q: Solve the differential equation dy/dx =x/y2 with initial condition y(0) = 2.

A: Given : dydx = xy2

Q: Find the particular solution of the differential equation y3y′ − 3x = 0 that satisfies the initial…

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Q: Find the particular solution to the differential equation dy 3x²y + 6x² /ỹ dx with initial condition…

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Q: The complementary function of the differential equation d²y dx² 2 + 3x +y= dy dx 1 is (1-x)²

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Q: Find the general solution and when initial conditions are given, the corresponding particular…

A: First we find the integrating factor of the given linear differential equation then its general…

Q: 5. Find the solution of the differential equation that satisfies the given initial condition. dy =y²…

A: Topic- differential equations

Q: dy = 2xV1 – y² dx

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Q: Find the periodic solutions of the differential equation y′+ky=f(x), where k is a constant and f(x)…

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Q: Find the solution to the differential equation dy y + dx 3 subject to the initial conditions y(0) =…

A: dydx+y3=0 Subject to y(0)=16

Q: Solve the differential equation  (1+e2x)dy + (1+y2)dx=0 ,given that y=1 at x=0.

A: Given- 1+y2dx+1+e2xdy=0 To find- The solution of the above differential equation at 1,0. Concept…

Q: Find the general solution of the differential equation dy/dx = y + 3

A: Given differential equation is dydx=y+3 Given differential can be written as: dyy+3=dx Integrating…

Q: Find the solution of the differential equation (In(y))6 dy dx = x°y which satisfies the initial…

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Q: Find the solution of the differential equation 3e?x dy dx -49- which satisfies the initial condition…

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Q: dy 2 dx y+2 x+y- 1

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Q: Find the solution of the differential equation that satisfies the given initial condition dy/dx =…

A: Given, dydx=5xey y=0 when x=0

Q: Obtain the general solution of the given differential equation: x2dx+y(1-x)dy=0

A: Given that: x2dx+y(1-x)dy=0

Q: Find the solution to the differential equation dy y + 0, dx 2 subject to the initial conditions y(0)…

A: Solve the given differential equation

Q: Solve the differential equation dy xy y(0) = -3. dx V1+ x? There is no need to isolate y.

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Q: Find the general solution of the differential equation given below ylnxlnydx + dy = 0

A: We will solve it using separating the variables

Q: Find a solution to the differential equation dy 4x3 dx ey which satisfies the initial condition y(0)…

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Q: (군2-1) 을 + 2y3 (+ 1)°

A: Given ODE : (x2-1)dydx+2y=(x+1)2 ⇒dydx+2yx2-1=(x+1)2x2-1⇒dydx+2yx2-1=x+1x-1 Which Linear…

Q: Find the particular solution of the first-order linear differential equation   x dy = (x + y + 2) dx…

A: To find the particular solution of differential equation xdy=x+y+2dx    x>0y1=10

Q: Find the solution to the differential equation x y y' = 2 satisfying the initial condition y(e) = 4.

A: To solve the following problem by seperation of variable and using the boundery condition to find…

Q: Consider the autonomous differential equation, without solving, sketch what the solution curve would…

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Q: (x–x²ye")dy – dx = 0

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Q: Solve the differential equation: dy/dx=-8y with the initial condition of y(0) =3

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Q: Solve the differential equation dy 1 dx 3y? by the method of separating the variables.

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Q: dy (e2y – y)cos(x)- e' sin(2x), dx y(0) = 0

A: on solving this we get the

Q: The particular solution of the differential equation: y" + 3y' + 2y = sin(e*) %3D is:

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Q: Find the solution of the differential equation that satisfies the given initial condition. dP =…

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Q: Find the general solution of the differential equation dy/dx = (x − 1)/y3

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Q: Find the solution of the differential equation that satisfies the given initial condition. dy = X,…

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Q: Find the solution of the differential equation that satisfies the given initial condition. dy/dx=…

A: dydx =7xey       ;  y(0)=0                                                    (1)   Formulae used:…

Q: The solution of the differential equation dy dx 5x + y is

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Q: Solve the separable differential equation dy 7y, dx and find the particular solution satisfying the…

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Q: (х5 +3у)dx — хdy —D 0

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Q: Find the solution of the differential equation dy/dx = y^2/x^4 that satisfies the initial condition…

A: Given:

Q: Find the solution of the differential equation (In(y))³ dy = x'y dx which satisfies the initial…

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Q: | Find the solution of the differential equation (In(y))³ dy = x'y dx which satisfies the initial…

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Q: x²dx + y(1 – x)dy = 0

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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.