9. From the differential equation sinh 2x, sketch some of the family of curves. %3D dx

Q: Find the differential equation of r = e'[sin(1+ last digit of your id)t + %3D

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Q: equation

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Q: Straight lines with slope half the value of the x-intercept

A: The equation of a line is defined as y=mx+b, where, m is the slope and b is the y-intercept.

Q: The order of the differential equation of all circles of given radius a is: 3 2

A: Let's find.

Q: cosy dx + (1 + e¯*)siny dy = 0

A: By separating the variables on each side  we can integrate them easily. Given, cosy dx+(1+e-x)siny…

Q: ta 2nd order differential equation whose general solution is y = cie" cos (4r)+cze¯1# sin (4r).

A: This problem is based on the topic of formation of differential equation by eliminating the…

Q: y = -CI cos 3x + C2sin 3X

A: Given, y=c1cos3x+c2sin3x We have to find the corresponding differential equation by elimination of…

Q: 4. Which of the following represents the differential equation of the family of parabola having…

A: Follow the procedure given below.

Q: If the length of the subnormal at any point Pon the curve is directly proportional to OP² , where O…

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

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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: • / = Ity

A: y'=x-yx+y It is a homogeneous differential equation. Put, y=vx⇒y'=v+x·dvdx Therefore,…

Q: y = 2xy -x

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Q: Find the general solution of the differential equation (4 + tan2 x)y′ = sec2 x

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Q: Solve the differential equation below: xcosydy+sin2ydy-dx=0

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Q: x'+z=et; x(0) = 1

A: Take z as constant

Q: The differential equation of the form = sin x has a degree equal to dy %3D Enter your answer as a dr…

A: We have to find out degree

Q: Find the differential equation by eliminating the arbitrary constant/s. y = = Aex cos x + Bex sin.x…

A: We differentiate the number times as the number of arbitrary constants present in the equation and…

Q: Classify the differential equation given below and find its general solution. y = xcosecx + y cotx.

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Q: (y – x)(y + x)(y? +x²)(xdy – ydx) = x°dx

A: We will solve this homogenous differential equation by a substitution y=vx So v=y/x

Q: y dx + (x'y+')dy -0

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Q: x + ( 1+x)y = e -× sin2x dx

A: The solution is given as

Q: Can you please solve for the PS/GS of this differential equation and pls indicate what kind of…

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Q: By climinating the arbitrary constants, form the differential equation in the fotowng cases: 1- y2 A…

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Q: SOLVE FOR THE DIFFERENTIAL EQUATION OF THE GIVEN FAMILY OF CURVES. 1. Circles with fixed radius “R"…

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

A: Equation of normal at the point P(x,y) to the curve is Y-y=-dxdy(X-x). ⇒X=x+ydydx Thus,…

Q: y > Ae* +Be* +ce; A,B and c unstant are

A: As per our guidelines we can solve only one question at a time please upload unsolved question…

Q: (3 şiny-5x) dx + 2x²cotydy = 0 hint: let 2 =sinu

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Q: Find the solution to the differential equation that satisfies the given condition. I am having…

A: Given differential equation can be written as Integrating both sides , we get

Q: 8. Solve for the general solution of the differential equation using linear equation y' = csc x- y…

A: To find the general solution of the differential equation using linear equation.

Q: Use separation of

A: Given,                     7dydθ=eysin2θysecθ.

Q: 1. What is the integrating factor of the differential equation ydx – xdy = 0 using case 1?

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Q: The rate of growth of a plant is proportional to the difference between its height h and the maximum…

A: The given data is: The rate of growth of a plant is proportional to the difference between its…

Q: Find a differential equation whose general solution is y = cie" + cze *. = 0

A: To find a differential equation whose general solution is given by, y=c1e7t+c2e−3t

Q: show complete and detailed solution of the differential equation. NO SHORTCUT!!! sinydy +…

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Q: 15. x" + x = tan t; x=-(cost) In(sect + tant)

A: Given, x''+x=tant x=-costlnsec(t)+tan(t)x''=cos(t) ln(tan(t)+sec(t))+tan(t)

Q: 2. What should be A for the exact differential equation of ry + A , 2Ay – 1 dr+ y? Moreover evaluate…

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Q: y = (xy - v)/x

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Q: y =Cjx +Cze* %3D

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Q: ind solution of order differential equation  dy/dx=cos^2(x-y+1)

A: To the find solution of order differential equation :-

Q: 2. Using your knowledge from Differential Calculus, Integral Calculus and Separation of Variables…

A: Given:-                     Using your knowledge from Differential Calculus, Integral Calculus and…

Q: 10) (+ysin4)dx -x sin-dy = 0

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Q: Use variation of parameters to find the general solution of the following differential equation: y"…

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Q: Please solve differential equation A - By = dy/dx A and B are constant.

A: The given problem is to solve the given differential equation where A,B are given as constants.

Q: 2) Obtain the differential equation of parabolas with vitex and focus on the x-axis

A: To find: the differential equation of parabolas on the x- axis.

Q: oM Differential Equation Show a complete solution ySy 13yty =0

A: Consider the given homogeneous equation.

Q: 3. y'+y tanX = secx

A: topic- differential equations

Q: aur + 2xyury + y*uyy = 0

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Q: OM ON The condition for Exact Differential equation is Colac+

A: We have to identify the given statement as true or false.

Q: From the differential equation by eliminating the arbitary constants A and B from the equation…

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.