If xy + ey = e, find the value of yn at the point where x = 0.

Q: SOLVE USING BERNOULLI'S EQUATION dy/dx=y-x(y^3)(e^(-2x))

A: Differntial equation

Q: dy c) Hence find the solution when x = 0, y = 0 and 1. dx

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Q: If dy = x² dx, find the equation of the curve that passes through the point (1, 1). 2y + x³ + 2 = 0…

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Q: Solve the linear D.E dy = (e-X sec2x - y)dx

A: Given: dy=e-xsec2x-ydx ⇒dydx=e-xsec2x-y⇒dydx+y=e-xsec2x which is linear differential equation of the…

Q: Find dy from the implicit equation x sin y² + e*y = 0

A: To Determine: find dydx. Given: we have implicit equation x siny2+exy=0 Explanation: we have an…

Q: Solve D.E using bernouliis equation os(y)·y' + sin(y) =x

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Q: Folve the following Bernoulli's equation: dy y=-*stnx dx

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Q: Find dy/dx x = 2eθ , y = e−θ/2

A: Given:  x = 2eθ  and y = e−θ/2

Q: Let xy = 2y + x. If you implicitly differentiate this dy equation, and then solve for you dx (a-y)…

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Q: Solve the given VSDE dy/x − y (dx/x^2) = 0

A: Solution: As per given data,  dy/x − y (dx/x^2) = 0 we solve by variable separable method In that…

Q: y tan x dx + In* ydy=0

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Q: The equation (x - 3y)dy = (2y + 4)dx is exact.

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Q: Solve the Bernoulli Equation x² dy + y? = xy dx

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by x2 .............(1)…

Q: dy +y =2+2x dx

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Q: Find dy/dx for the equation: y= (e2x+1)/(1-2x)2

A: The given equation is,

Q: For an equation y - y sin t = 0, find the particular solution for y, given that y(n) = 1. (a)

A: Solve it by using the separation of variables.

Q: dy e I+ x + ×y +メ dx

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Q: Show that y=xe-x satisfies the equation dy/dx +y=e-x

A: We find dy/dx using product rule

Q: (2xy +y) dx + (x²- x ) dy = 0

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Q: If 3x2 +2xy +y² = 2, then the value of dy at x=1 is dx

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Q: 2. (y Iny – e-*y) dx + +x In y ) dy = 0 y |

A: The given equation is not exact because ∂M∂y≠∂N∂x.

Q: dy d. x = y + y³cosx dx е. dx - y = 2xy²e-*

A:

Q: Solve for the value of C in the equation: dy – (y + xy³)dx = 0 when y(0) = 1

A: The given differential equation dy-y+xy5dx=0dydx=y+xy5dydx-y=xy5 It is first-order Bernoulli's…

Q: Q9// find the general solution (sec'x + (cotx)y)dx + (Insinx)dy = 0

A: Using the basic properties of trigonometry and expanding the expression we can find the solution to…

Q: Solve D.E using bernouliis equation dy 1 y = xy² dx x

A: The objective is to solve the differential equation.

Q: Solve D.E using bernouliis equation dy – 2x · = x(x+1)y' dx

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Q: Solve for the solution for the equation: (x² + 3xy)dx + (x² + 4y) dy = 0 with the condition of y(2)…

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Q: So S (2x + 3z – y). dz. dy. dx B- Solve

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Q: Express æ = e-t, y = 2e2" in the form y = f(x) by eliminating the parameter y =

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Q: Solve the following using exact equation or linear whichever is applicable. (x− 2y)dx + (y − x) dy=…

A: Given: (x− 2y)dx + (y − x) dy= 0

Q: Q9// find the general solution (sec°x + (cotx)y)dx + (Insinx)dy = 0

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Q: y" + y = sin t

A: Explanation of the solution is given below...

Q: O Find đyldx given the implicit equaton

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Q: If xy + ey = e, find the value of y′′ at the point where x = 0.

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Q: Q9// find the general solution (sec³x + (cotx)y)dx + (Insinx)dy = 0

A: Answer and explanation is given below...

Q: If the DE represents a curve that passes through x=5 and y=6, find the exact solution of…

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Q: Use Picard’s Method with 3 iterations to solve for y(0.1) and y(0.2), the equation dy/dx = x2+y2;…

A: Picard method: Consider the initial value problem, dydx=fx, y, yx0=y0 Then  yn+1=y0+∫x0xfx,yndx…

Q: dy If x=sin y, find the value of at the point dx 2 3

A: Since we have been given that x=sin y -(i) and our aim is to find the value of dydx at the point…

Q: Find d2y/dx2 implicitly in terms of x and y 7xy + sin x = 2

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Q: If xy + e = e, find the value of y" at the point where x = 0.

A: First find y corresponding to x = 0 than take derivative of the given equation two times and put the…

Q: Solve the exact equation   dy/dx= y/x

A: Given, dydx=yx

Q: Find ø(0) for a solution ø(x) to the IVP (sec x)dy= 2/y+1dx; Ø(t) =8.

A: GIVEN : (sec x) dy = 2 y + 1 dx                 ∅ (π) = 8

Q: Solve the DE by Bernoulli's Equation 3 1.6 y² dx - x (2 x³+ y) dy = 0

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Q: Solve D.E using bernouliis equation r'y-x'. dy x'y-x' . dx = y* · cos(x)

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Q: Find the general solution of the equation y" − 4y' + 3y = sin(x)e²x -

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Q: Solve the given dy=x√ e+~

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Q: Find the general solution, using separation of variables: dy dx

A: The given differential equation is  dydx=e-y-x

Q: Solve xy( 1 + x y? ) = 1 by using Bernoulli's equation. %3D dx

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Q: 11. (x In y + xy) dx + (y In x + xy) dy = 0;

A:

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.