solve for the differential eq   (8x−10xy+4y^2sin^2 (x) )dx=(2ysin2x+5x^2−4xy)dy

Q: 3. y'-5y = x*e* - xe* – xe³x

A: 3. the given differential equation is y'-5y=x2ex-xe5x

Q: The number of internet users in a country increases at a rate that is jointly proportional to the…

A: Let number of people having personal computer be C(constant), number of people having internet be N.…

Q: From the differential equation by elimanating he arbitary function f from xyz=f(x2+y2+z2)

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Q: ५ = (+गुंग्ट

A: Given- dydx=1+y2ex To Find- The solution of the above differential equation.

Q: Find the solution to Integro-Differential Equation.

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Q: To apply the integration factor method, does the differential equation have to be linear?

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Q: Find the differential equation by rlimaniting the arbitary constants from

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

A: Given differential equation, dydx=sinh(2x)dydx=e2x-e-2x2∫dy=∫e2x-e-2x2dxy=e2x+e-2x4+C

Q: The Bernoulli's and ricatti's differential equations have their G.S solved by reducing these…

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

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

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Q: Solve the differential equation Integrating Factor by Linear Equation: dx + xcoty = ecosy dy

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Q: Solve for the differential of y when y= sinzx. x=-, and dx = - 3 2

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Q: differential

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Q: Use integration to find a general solution of the differential equation                      dy / dx…

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Q: Obtain the differential equation by eliminating all arbitrary constant.

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Q: 3x2y +y2 2x3+ 3ху dy

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Q: 2 cosh(2x) – sinh(2x) = 2

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Q: (xy-4lnx+x^2sinx^2)dx+x^2dy

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Q: Write the differential equation satisfied by y = Cekt.

A: Given equation is              y=Cekt

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

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Q: Find the differential equation of all straight lines at 2- unit distance from the origin.

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Q: Give the differential equation of family of lines passing through (2,0)

A: Let the equation of  line be y= mx + c Now if the line pases through (2,0) then  0= 2m + c --> c=…

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

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Q: Solve the differential equation Integrating Factor by Linear Equation: y' = 1 – 2ycot2x

A: We can solve this as follows:

Q: What is the differential equation of all parabolas with axis parallel to the y-axis?

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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 integration to find a general solution of the differential equation

A: Given: dydx = xex2  To find: General solution of the given differential equation.

Q: Find the differential equation of family of circles tangent to the x-axis.

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Q: Explain thesteps to obtain the general solution of a 2nd order homogenous One Differential Equation?…

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Q: Find the differential equation having the solution as the equation representing all lines with slope…

A: Consider the family of straight lines with slope m and y-intercept c in slope-intercept form as,…

Q: Describe the difference between the general solution and a particular solution of a differential…

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Q: In a city of a fixed population of " people , the rate of change (with respect to time t) of the…

A: Given Data: A city has a fixed population is P. Also given, the rate of change (with respect to time…

Q: find the differential equation of the family of logarithmic curves whose equation is Cy = ln(Cx).

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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: Find the differential equation whose complete solution is y=c1e-x+c2ex+4x using elimination of…

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Q: Find the genprat Sotoution of the differential equation 3x+2 2y

A: By using the Separation of Variables Method.

Q: by

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Q: From the differential equation by elimanating arbitary constants  y=ax3+bx2

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Q: Describe the separation-of-variables technique for obtainingthe solution to a differential equation.

A: To describe the separation of variable technique.

Q: Obtain the differential equation that describe the family of curves.

A: The general equation of the circle isx-h2+y-k2=r2where (h,k) is the center of the circle and r is…

Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30 °,…

A: Given,  The one side of a right triangle is 20 cm long and the opposite angle is measured as 30°,…

Q: Find the seperable differential equation

A: A differential equation dydx=f(x,y) is said to be a separable equation if the given function fx,y…

Q: ydx – xdy Solve the differential equation 2xdx=- x2. + y? by forming integrable combinations.

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Q: 3. (sin'x + cosv)dx - tanxsin2ydy = 0

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Q: equation

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Q: Write a differential equation showing the family of lines with slope and y-intercept equal

A: Equation of lines is y=mx +c ; where 'm' is the slope and 'c' is the y-intercept.

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.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.