Find the function y = y(x) (for æ > 0) which satisfies the separable differential equation %3D dy da 3+ 17x x > 0 ry? with the initial condition y(1) = 6. %3D

Q: 5)(cos.x + 3x*y}dx+(x* - y³ kdy ifadesinin tam diferansiyel olup olmadığını gösteriniz. Tam…

A: The given differential equation is:cosx+3x2ydx+x3-y2dy=0         ..........(1)which is of the form…

Q: Is (1+ex/y)dx + ex/y(1-x/y)dy = 0, a exact differential equation? If yes then, find the value of y.

A: Exact differential equation- A differential equation of the type Mdx+Ndy=0 is said to be exact if,…

Q: Form the differential equation for the function y = acos(2x + b)

A: By finding first and second derivatives of function we form the required differential equation as…

Q: Form the differential equation for the function y = ae3x + be-3x O a. y" +2(y)2 = 9y? O b. 2yy" -…

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Q: Evaluate the general Solution to the differential equation: Cy-cos-x)dx+ cosxody A y(secx + tan x) t…

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Q: dy-(2y xe+2x²yex) dx (6 y3x -2x² e%) 1 the generl solution of the differential tion.

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Q: Determine the equation of the curve passing through the origin in the from y = f(x) which satisfies…

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Q: a differential equation is classified as a homogeneous DE if one can directly isolate all functions…

A: A differential equation is classified as a homogeneous DE if one can directly isolate all functions…

Q: Form the differential equation of family of lines situated at a constant distance p from the origin.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: 5. A differential equation is if it can be written in the form f(y)d(y) = g(x)d(x)-

A: A differential equation is ORDINARY if it can be  Written in the form f(y)dy = g(x) dx .

Q: (1+ex/y)dx + ex/y(1-x/y)dy = 0, a exact differential equation? If yes then, find the value of y.

A: Given differential equation is  1+exydx+exy1-xydy=0 Which is in the form of Mdx+Ndy=0. where…

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

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

Q: Yp = -1 / 5ex - 1/2 (cos 2x) ((ln (sec2x + tan2x)) is the particular solution of the differential…

A: A solution yp(x) of a differential equation that contains no arbitrary constants is called a…

Q: Find the linear differential equation that is satisfied by y=xe-xsin3x+2e-xcos3x.

A: Let's find linear differential equation.

Q: Verify that y = x² – 1 is a solution of (y')* + y² = -1. %3D

A: Given;            y=x2-1 is a solution of y'4+y2=-1 We compute the first derivative.…

Q: Which one of the following is the Exact differential equation ? 1 (x2 +3xy)dy + (y³ +a²)dx = 0 3 (x2…

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Q: Z = 2xy  what will be the partial differential coefficient

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Q: Find the differential equation of dy/dx = x(1+y²)/4y.

A: To solve the differential equation dy/dx=x(1+y^2)/4y

Q: ta constant distance p from the origin. find the equation of the circle which touches both the axes…

A: All such lines are tangent to the circles of radius p                y=mx+p1+m2⟹   m=dydxBy…