r(1– r) dx t >0 dt t

Q: Find y' y= (x2+2)(x-3)

A: Given :                  y = x2+2x-3 Find :               y'

Q: Solve x*y"- 2x(1+x)y'+2(1+x)y= x'

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Q: Solve y" +5y' = (2x+1)e" -5x

A:

Q: Find y' of y = log5(4x + 3)

A: Given that

Q: Solve y (e* + Inx) dx + (3 – y) dy = 0

A: The given ordinary differential equation can be written as:

Q: dy ху Solve dx (1+y2)

A:

Q: Determine all solutions. y'= (x-y + 3)²

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Q: Find d³y/dx³. y(x) 2STENTOR x(x-1) 3

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Q: Solve the ODE  y'+(1/x)y-ex=0, when x>0

A:

Q: The general solution of y' x2 can be written in the form

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Q: Solve of the following Clairaut equation y=((x+4)y')+(y')^2

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Q: write answer as fraction -(1/2)^3

A: We know , (a/b)n = an/bn

Q: y' = 3x²+y² xy ; given that y(1) = 1 ; solve for y when x = 2

A: The given equation is; y'=(3x2+y2)/xy, y(1)=1.

Q: Solve the nonlinear ODE Ay''+Byy''-y=0, where y=y(x) and A,B are constant

A: The given nonlinear ODE is: Ay"+Byy'-y=0 where y=yx and A,B are constants.

Q: Solve = (x²+6)(y-7), y(0) = 2. dy dx

A:

Q: (3x2y1/2+1/y)dx=(x/y2-(x3/2(y1/2)))dy solve exact equation

A: Approach to solving the question: Recognize the form: The equation is presented in the form M(x,y)…

Q: #2. Researchers have descried the maximum growth rate of a phytoplankton as a function of the cell…

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Q: 4x – 9y = 1 find the first derivative

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Q: y' = (1 − x²)²; y(15) = 149,645

A: differential equation

Q: dy '(x2 + 2x)을+(x-+2) y 3D xe

A:

Q: - (x*+ a²)dy = 2x[(x*+ a²)*+ 3y]dx ex[(x²+ a²)²+ 3y]dx

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Q: dM/dt=4M, M=25000 when t=2   dT/dx=-3.2T-1328, T=-212 when x=2

A:

Q: dx² dx 543-5+ y = 0; y(0) = 4y'(0) = 0

A: To solv the following initial value problem.

Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

A:

Q: A linear model of the spread of an epidemic in a community of 1000 people is the equation: dx/dt =…

A: To find the number of people x(t) who have contracted the disease at the time oftime t.

Q: Find y' 4x-5 y= 2x+3

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Q: 3 2t + 3 h(t) = 6 t2 Find h'(t) *

A: