y" +6y' +10y=0; y(0) = 2, y'(0) =

Q: x + 4y3) dy- ydx = 0

A: We have to find the solution of the given non exact differential equation.

Q: Find the general solution of the first-order linear differential equation. (Use x as your…

A: We can find the correct answer as below

Q: Find the differential equation corresponding to y=a cos (logx) +b sin(logx) or y=A sin (logx)…

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Q: 2. What is the integrating factor of the differential equation (x² -y²)dx + (x² - 2xy)dy = 0?

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Q: 2. (a) Find the derivative of f(x) = 2x2 – 2x + 2 from first principle sin x (b) If y = x + find x4…

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Q: When the Second Derivative Test Fails Analyze the critical points off (x, y) = 3xy 2 - x 3 .

A: Given Data The function is f(x,y)=3xy²-xᶟ.   Differentiate the function f(x,y)=3xy²-xᶟ with respect…

Q: Xoly-y dx-Jx.ye dxz0

A: Given:            xdy−ydx−x2+y2dx=0

Q: 1. Find the first derivative " if y = x sin 27x . dx

A: Given:  y=x sin 2πxTo determine the firstderivative.

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

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Q: Find the derivative of the function. 1 - e3x = cos y = cos 1 + e3x y' =

A: Differentiate

Q: In y = C₁e* + C₂е¯x

A: Given problem:- Find its differential equation through eliminating arbitrary constants.    In(y) =…

Q: ,2x Calculate the second derivatives of function f(x) = sin(x) + Ide²x at point x = 0.625 using…

A: Three point central differential formula for 2nd derivative   f′′(x)= f(x-h)-2f(x)+f(x+h)h2 Five…

Q: What is the first derivative of f(x) = ln 3z²+7z ?

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Q: From the differential equation by elimaniting arbitary constant y =ax'+ bx²

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Q: The differential equation of the family of curves orthogonal to x² + y? = C² is

A: Solve the above questions.

Q: Find the second implicit derivative of the given using implicit differention y2-3x+2y=0

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Q: 13. Find the second derivative y “ of y = 5z2 +sinrcosz

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Q: The linear Differential equation of any order if there is no constant term s present is known as?

A: We have given The linear Differential equation of any order if there is no constant term s present,…

Q: (D² + 4)y = Sinx

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Q: From the differential equation by elimaniting arbitary constant  y=ax3+bx2

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Q: obtain the differential equation of the family of straight lines passing through ( 0,1)

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Q: Find the particular solution of the differential equation - ytanx e" secx that satisfies the initial…

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Q: Form the differential equation by elimaniting the arbitary constant A,B from y=Ae7x+Be-7x

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Q: Form a differential equation from y = 3cx - 4, here c is the arbitrary constant.

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Q: Obtain the differential equation of the family of straight line with the algebraic sum of the…

A: The differential equation of the family of straight line with the algebraic sum of the intercept…

Q: Find the general solution of the differential equation y′ = √(tan x) sec4 x

A: The function is y'=tan xsec4x. To find the general solution, integrate both sides of the equation.…

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: What is the value of the first order derivative of the closed function given as…

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Q: dx V9-x2

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Obtain the differential equation of the family of straight lines passing through (0,-1).

A: To Obtain the differential equation of the family of straight lines passing through (0,-1).

Q: Obtain the differential equation associated with the given non-derivative equation in x and y. y =…

A: Given that obtain the differential equation associated with the given non-derivative equation in x…

Q: Find the solution of a given non-homogeneous differential equation using the variation of…

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Q: Calculate the second derivative y : Vx - Vy = 1

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Q: Find the differential equation which has y= asinx+bcosx+xcosx

A: Given: y=asinx+bcosx+xcosx                                   ..1 for finding differential equation…

Q: dy COS X + y sin x = sec² x dx solution of above differential equation is

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Q: What is the integrating factor of the differential equation y' =cscx-ycotx ?

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Q: 4. Find the first derivative of y = 170x tan (20x)+- In(49 – x 5e7-8cos

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Q: Find the differential equation having as solution of y = x sin(xtc) .

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Q: 5. Find the first derivative of y = (2x³ – 1)5 Vx² – 1

A: Given: y = (2x3 – 1)5√(x2 – 1)

Q: Form the differential equation by eliminating arbitary constant from y = cx+c-c3,(c)

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Q: Determine the first derivative of the ff. function a. y = 400(2)*+3 sin 3x b. y = Vxe2x cosx…

A: Given1) y=400(2)x+3sin3x2) y=xe2xcosx3)y=1+ln(3x2)1+ln(4x)We need to find the first derivative of…

Q: Find the general solution of the differential equation: y′=(1+y)secx+tanx

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Q: Compute the derivative for y= (e^-4x sin^2(x)) / (x^2 + 3x + 1)

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Q: 8. Find the derivative of y = In(3t) dt.

A: To Determine: Find the derivative of given integral:…

Q: Find the 1st and 2nd derivative of: Vx + Jy = va

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Q: Find the differential equation of the family of circles with fixed radius and tangent to the x axis.

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Q: 4. Obtain the Differential Equation from the family of curves of the form y = xC

A: To form a differential equation from given family of curves. Differentiate given family of curves…

Q: Calculate the truncation error to solve the differential equation: Yi+1¬Yi = Xị → (*) Ax dy Instead…

A: Follow the following solutions to get the complete correct answer.