max value for y

Q: An Integration factor of this differential equation is .7 3x? + 1 + x3 dy 1 y : 1+ x2 dx

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Q: give a problem and solution for differentiation rule of exponential and logarithmic functions in…

A: The solution for the above question is as shown below.

Q: Determine the particular solution that satisfies the differential equation and initial condition…

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Q: dx dy dz y +z X + y X +2

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Q: Solve the partial differential differential by separation of variables 70z + 6 = 0.

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Q: Solve differential equation  [Sin(xy)+xycos(xy)+2x]dx = [x^2cosxy+2y]dy

A: GIVEN : (sin(x,y)+x y cos(x,y)+2x)dx+(x2cos(x y)+2y)dy=0 let P(x,y)=sin(x,y)+x y cos(x,y)+2x  and…

Q: d) sin(x)y' + cos(x)y = tan(x)

A: We have to solve

Q: Determine the particular solution that satisfies the differential equation and initial condition…

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Q: (3nny-5x)dx+ 2x*cotydy = 0

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Q: y using an integrating factor, find the general solution of the differential equation dy/dx…

A: Given differential equation :                          dydx-ytanx=sinx

Q: Find the differential equation (Family of Curves): Lines with slope equal to the negative reciprocal…

A: Please check step 2 for solution.

Q: The integrating factor of the linear differential equation + (tanx)y = x is, cost log(cosz) secr O…

A: Third option i.e. " secx " is the correct answer. Thankyou !

Q: he population y(t) of a certain microorganism grows continuously and follows an expo uadrupling time…

A: In this question, the concept of derivatives is applied. Derivative We can use a derivative to…

Q: 2. Estimate the instantaneous rate of change of y = at x = 1. Show your work. 2x-3x+1

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Q: Suppose that glucose enters the bloodstream at the constant rate of r grams per minute while it is…

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Q: Find the differential equation of the family of curve Straight lines with slope half the value of…

A: solutionGivenstraight line y=mx+CAlso givenslope =m=dydxC= y interceptat x intercept, y=0Also given…

Q: If f(x, y) = ln(x + y), then total derivative or total differential of f at x = 3 and y = 20 is : Y

A: Given data: The given expression for the function is f(x,y)=ln(x+y). The given value of x is x=3.…

Q: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

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Q: Find the derivative of y = 4) G* eln sin-) y = G (In-x) sin + V4 – x2. x sin¬1 In sin + (Tx-1 1 y' =…

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Q: Find the general solution to the differential equation y = x* tan(y) y = help (formulas) Use the…

A: Recall: ∫xn dx=xn+1n+1+C ∫cosxsinx dx= lnsin(x)+C ; Where C is integration constant. In this…

Q: in differentials of functions, if x change by a small amount dx then, what will happen to y?

A: Let a function be y=fx then here y is the dependent variable and x is the independent variable. The…

Q: The integrating factor of the linear differential equation – (tanx)y = x is_ - O sinx O log(cosa)…

A: Given dydx-tanxy=x

Q: Use a technique of integration or a substitution to find an explicit solution of the given…

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Q: y ln x - x ln y = 1

A: ylnx-xlny=1Treat y as yx

Q: The function y(x) is defined by the implicit equation x2−√ylny=1. Find its differential at the point…

A: Differentiate both sides with respect to x and solve for dy/dx

Q: A: By using Linear equation solve the first order differential еquation y' + sec(x)y = cos(x)

A: The given differential equation is;  y'+sec(x)y=cos(x).

Q: Form the differential equation Por the curve y= 2sin (x + 3)

A: The order of the differential equation is the highest derivative present in the equation. The…

Q: Use variation of parameters to find a general solution to the differential equation: y"+y=sec (2)…

A: Variation of Parameters: Let y''+p(x)y'+q(x)y=r(x) be a second order non-homogenous ordinary…

Q: al csc x y cotx

A: We have to find the intregating factor of given differential equation.

Q: 7. Find the differential dy of the function y = x (1-cos(x)). If the error in x is ", find the error…

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Q: 1 log3(r – y)*

A: Given; fx,y=1log3x-y   As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And…

Q: Use Variation of Parameters to solve the differential equation. y"y tanx y C1cos xC2sin x - In secX+…

A: Result used:

Q: find derivative 1. y = 1/( ln 3x)      2. y = ln (t3/2) + sqrt(t)    3. y = ln (sin x)      4. y =…

A: Hi! Your question contains many sub-parts. As per norms we will be solving only 3 sub-parts. Since…

Q: Suppose that a hare starts at the origin (0, 0) and runs with speed Vh along the y-axis toward a…

A: This question is from differential equation.

Q: Find the differential equation of the family of curves. 1. Family of lines where x-intercept is…

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Q: A normal is drawn at a point P (x, y) of a curve, it meets the x-axis at Q. If PQ is of constant…

A: We will show that the given differential equation describing such curve is correct and will find the…

Q: Obtain the differential equation for the family of straight lines with x-intercept and y-intercept…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. The…

Q: Solve for Higher Differential Equation using Variation of Parameters et x" – 4x' + 3x 1+et

A: see below the answer  as per bertleby I have to solve first question only, please resubmit for other…

Q: 9. Consider the interval [0, 2n] for the function y sec x. State an x- value at which the…

A: Given query is to find value of x for different conditions for instantaneous rate of change.

Q: dy cosh x dx + (sinh x)y = e-x

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Q: 1. x In x sec² y dy + [tan y – (In x)°]dx = 0 When:x = 1; y =

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Q: 2. y"' + 4y' = sin x + 3 cos x

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Q: A/ By using Linear equation solve the first order differential uation y' + sec(x)y= cos(x)

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Q: 10.Anti-derivative of y(2y^2-3)^5

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Q: arabolas with axis parallel to the y-axis

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Q: Find a special solution of yn+2 - Yn= fo = constant by variation of parameters.

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