Find the logistic differential equation dy ky 1-Y dx L

Q: Solve the differential equation. dy/dx = 5x√ y

A: Given differential equationdydx=5xy⇒dyy=5x dx⇒dyy12=5x dxy-12dy=5x dxIntegrating on both…

Q: Solve the differential equation dy/dx = e2x-y/ex+y

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Q: Solve the differential equation dy dx +2y = e-*

A: The differential equation is given by dydx+2y = e-x

Q: find the general solution for this differential equationdy/dx = e^(-y)+1

A: Find the general solution for this differential equation

Q: dy dx when x = 1 9

A: Given: Differential equation with the initial condition: Concept: The given equation is a variable…

Q: Solve the differential equation. dy/dx  = xe-y

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Q: dy dx x+y2

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Q: Determine if the given differential equation is homogenous. (x³y³+1)dx + x⁴y²dy =0

A: Given differential equation (x³y³+1)dx + x⁴y²dy =0 Now we will check whether the given differential…

Q: Solve the given differential equation by separation of variables. dy eY + e dx -5x - y

A: Solve Differential equation by variable separable method

Q: Solve the differential equation given below 3y2(dy/dx)+y3=e-x

A: We have to solve given differential equation:

Q: (-÷). xy ) dx = dy. e

A: Given     e-x22 - xydx = dy It can be rewritten as                   dydx = e-x22 - xydydx + xy =…

Q: Solve the differential equation dy y cos(* dx

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Q: 8. Solve the separable differential equation. dy dx = y\x

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Q: Solve the differential equation xyy = y – 1

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Q: Solve the differential equation. dy 5x√y dx

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Q: Solve the logistic differential equation

A: the given differential equation is: dydt=ky1-yL the differential equation can be written as:…

Q: Solve the differential equation dy/dx = ex-y

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Q: dy/dx + (sec x)y = 7

A: Given: dydx+secxy=7 We know that solution of differential equationdydx+fxy=gx is given by…

Q: Solve the differential equation. dy dx

A: This is a simple differential equation. Method which is used to solve this kind of differential…

Q: find the solution of differential equation 1 + x dy + dx y =

A: we have to find the solution of differential equation: dydx+1+xxy=exx

Q: x Iny dx + (x- ln y)dy = 0

A: Instead of x lny : y ln y gives appropriate solution to DE

Q: Solve the Differential Equation. dy/dx +ycotx = 1

A: the given Differential Equation is; dy/dx +ycotx = 1

Q: Solve the differential equation.

A: Given differential equation is dxdt=1-t+x-tx Solution: Given differential equation can be written…

Q: Solve the differential equation: dy/dx=cos(x+y) when x=0, and y=pi/4

A: Solve the differential equation, using substitution method

Q: dy dx sec? x sec³ y

A: Given differential equation is: dydx=sec2x sec3y Rearranging the equation we get, 1sec3y dy=sec2x…

Q: Find the general solution of the differential equation dy/dx = 6 − y

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Q: Solve the differential equation  xdy-{y+xy3(1+logx)}dx=0

A: Given differential equation is : xdy-y+xy31+logxdx=0 To solve the given differential equation .

Q: dy =ky L) dx

A: We will find the logistic differential equation  Where L carring Capacity

Q: Solve the differential equation. dy / dθ    =  ey Sin2 θ /y Sec θ

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: solve the differential equation. dy/dx = √y cos2 √y

A: It is given that, dydx=ycos2yWe have to solve the differential equation.

Q: Solve the differential equation: dx || y+1 *

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Q: solve the differential equation. y ln x ln y dx + dy = 0

A: Given y lnx lny dx + dy = 0

Q: Solve the differential equation.   dy/dx - y/x = ( ln x) 4

A: 8

Q: Find the general solution for each differential equation.

A: Given differential equation is: x (dy/dx) + y = 2x^2 xdy + ydx = (2x^2)dx d(xy) = (2x^2)dx The above…

Q: dy dx || x3 2+y²

A: Given differential equation, dy/dx= x³/(2+y²) So, (2+y²)dy=x³dx

Q: Find the general solution of the differential equation. dy 10 dx y=

A: Differential equations

Q: ア=ジーxy?

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Q: dy +y = y² sin x dx

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Q: Evaluate and Solve the linear differential equation:    (dy/dx) = x - y

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Q: Solve the differential equation. dy 5x e -y dx =

A: topic - differential equations

Q: Solve the given differential equation by separation of variables. dy dx x√ 1 - y² y = =

A: Solving the problem by finding the value of the problem.

Q: xy'y = x + 1

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Q: Solve the differential equation below; e* y' = (x + 1) y?

A: This question is related to differential equation.

Q: Find the differential equation: (x+y-2)dx + (x-4y-2)dy = 0

A: To solve the given differential equation we use separation of variables method.

Q: Solve the linear differential equation dy y 2x2 dx

A: This ODE can be solved as follows:

Q: Find the general solution for each differential equation.

A: