Find a solution of x dy =y?-y that pases du Through indicated points

Q: Given that y =5u'+4u and x 1 hence find dy dx

A: Differentiation problem

Q: .. dy– -(+y + y ]dx Ans. y = c xe*

A: According to our guidelines In case of multiple questions we are supposed to answer the first…

Q: 1. y+13 dy-

A: the given integral is ∫y+13y+1y+3y-2dy Substitute  u=y-2→y=u+2du=dy the integral reduces to…

Q: dy 2х %3D (Зу + x)— dx

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Q: The value of 'n' to approximate [x dx by taking h = 0.1 using Trapezoidal Rule is О а.2 O b. 5 О с.…

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Q: Given that x- y2 = 9, then dy/dx =||

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Q: Ifx² + xy +y =7, find the value of dy at the point (1,2). %3D dx

A: Consider the equation

Q: y to solve the following linear differe ] dy

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Q: noad Engine dz, C |z-il=2 (d) 군 (+1) dz C:|2| =2

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Q: Use separation of variable to solve and largest interval I over which the solution is defined. IV.…

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: y cos y dx dy dz x² +y° y -(7 +2/2 - 4) 16

A: Explanation of the answer is as follows

Q: dy dr (0,16). for the equation = 18in(v² – 255) Find at the point

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Q: The approximation of I = (x-3)e* dx by composite Trapezoidal rule with %3D n=4 is:

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Q: Given the equation 2= 3x2 +1 with y(1) = 2. Estimate y(2) by Euler's method dx using h = 0.25. %3D

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

Q: If yo is the particular solution of dy 4x°y, y(0) = 3, %3D %3D dx find the value of yo(2).

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Q: ſcsch¯(1– x¯)dx

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Q: dy _ x+3y Hint: y = ux dx 3x + y

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Q: Given y - xy? – x²y=2. Then, at the point (1,2), -is dx Blank 1

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Q: Which one is an exact equation? (Зуш? — 1) dar + (2a3 + 3у) dy — 0 2у(а + у + 2)dx + (у? — а? — 4г —…

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Q: (b) Use the substitution u = x In y to solve the equation (ry + 2ry In² y + y In y)dx + (2x² In y +…

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Q: La y dx + 2x dy where C is the path along y = Evaluate 2x² from (-1,2) to (2,8).

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Q: (y2+yx)dc+x?dy=0

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Q: 17. y dx — (х + бу?) dy %3D 0

A: Given ydx-x+6y2dy=0          (i) To determine the solution of the given differential equation.

Q: lip = (x+y+1)? – (r + y – 1)? subject to y(0) = dr %3D dy_I- y - 1 dr I+y+3

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Q: If x= Arctant3, y=/1+16, find the value of a if 2ay" =17 when t=V2. y' A -2/7 © VE C O 2/7 E

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Q: What is the equation of a line that is paralel to the ine that goes through the points (2.0) and…

A: We know that the slopes of two parallel lines are equal. If the slope of the first line is m1 and…

Q: Solve for the explicit solution, y = ¢(x), to the following IVP and determine its existence…

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Q: Find at the given point without eliminating the parameter. dx2 1?, y = , X = 2 t = 2 3

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Q: dx + 2xy = sin y , x(n) = 1 - dy

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Q: Solve the following DE V2+ x? dy =-x 1+y dx y = Ce{2+x²) _ 1 а. y= Ceor") _1 y = Ce{2+x?)

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Q: 1 (x + y )dx = xy²dy

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Q: sec'x dx + tanx sing dy ? cory stanx

A: The differential equation is 3tanx-2cosysec2xdx+tanxsinydy=0 find the solution.

Q: Given z = 1le lle*y® , find 10 dz dz dy

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Q: Given y - xy? – x²y=2. Then, at the point (1,2), -is Blank 1 dx

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Q: sec'x dx + tanx sing dy cory

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Q: Q2/A/<he di fferential equation is yedx +3xay+dx +dyno diff erential when fineling the solution to a…

A: To find: The solution of differential equation y2dx+3x2y2dx+dy=0 and also find the constant (c) at a…

Q: Given DE: dy/dx = 2x?y!/2 Determine whether there's a unique solution to IVP at point (2,4)?

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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: Roughly sketch into the plot the solution that corresponds to m(0) = 0 mg. %3D

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Q: Find 4 for dy dz? y = cot(x) dy · sec x² « · cot x

A: Differentiate wrt x

Q: Obtain the general solution unless otherwise instructed d²y 1. dr? - y = 10sin²x | dx2 SUMMARY OF…

A: Given differential equation, d2ydx2-y=10sin2(x) So corresponding homogeneous equation, d2ydx2-y=0

Q: Given (x + 6y? ) dx - 4xdy = 0, when x = 1, y = 1. Find the particular solution.

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Q: If x= Arctant, y=. 2ay" =17 when t=V2. 1+76, find the value of a if y' В © VE E -2/2

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Q: î Show that J" dx - Jes

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Q: Find the particular solution. (Remember to use absolute values where appropriate.) dy = 2 - x ) dx;…

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Q: Find the solution of the equation dy -y = x dx | subject to the condition y(1) = 2. %3D

A: Given differential equation is xdydx-y=x and y(1)=2

Q: dr + (2r cot 0 + sin 20)d0 = 0

A: Let's find.

Q: If x + xy +y =7, find the value of dy at the point (1,2). %3D dx

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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.