Solve the equation dy 2 dx with the initial condition y (1) = 1. 2/3

Q: Find the particular solution of the differential equation that satisfies the initial conditions.

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Q: Given the differential equation dy + 9ху%3D6ху3 dx

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Q: Find the solution to the differential equation dy = 3 (5 + x), dx such that y = 7 when x = 1.

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Q: dy Solve the homogeneous differential equation dx + 2xe x, నా

A: Given homogeneous differential equation is dydx=yx+2xeyx                    (1) for homogeneous…

Q: 3 dy dy Solve the differential equation y = 1+ dx dy +..... for | æ < 1 da dx 2.

A: Given differential equation is y=1+dydx+dydx2+dydx3+..... for x&lt;1

Q: Solve the given differential equation by separation of variables. dy – (y – 4)2 dx = 0

A: Given : dy - (y-4)2 dx = 0

Q: Solve the differential equation. (xnx* )dx+(y+1)dy =0

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Q: Q2 Solve the differential equation dy dx x +1

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Q: solve the differential equation dy/dx+6y=e^6x given that when x=0, y= 8

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Q: dy dx x+y2

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Q: dy mple 20: Solve the differential equation : + (v-1 +(y-1)c« dx

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Q: Find the general solution of the differential equation dy/dx = (ex + 5)2

A: dydx= (ex+5)2 dydx=e2x+10ex+25dy = e2x+10ex+25dx

Q: Solve the differential equation: dy x²y= (x + 1)(y + 1) dx

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Q: Q2 Solve the differential equation dy x--y =- dx x + 1

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Q: Solve the differential equation given below. dy = 2(-2 – y) dx

A: Given equation; dy/dx = 2(-2 - y)

Q: The degree and order of the differential equation 8 dy 1+ is = 4 dy (密 dx dx

A: According to question given that1+1(dydx)4=(dydx)8We have to calculate the degree and order of the…

Q: Solve the differential equation. dy 5x√y dx

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Q: dy/dx + (sec x)y = 7

A: Given: dydx+secxy=7 We know that solution of differential equationdydx+fxy=gx is given by…

Q: Find the general solution of the differential equation dy/dx = y + 3

A: Given differential equation is dydx=y+3 Given differential can be written as: dyy+3=dx Integrating…

Q: Solve the given differential equation by separation of variables.dy − (y − 8)2 dx = 0

A: The differential equation is given as:dy − (y − 8)2 dx = 0For finding the variable first we must put…

Q: dy Solve the differential equation = (In x) y+x* x>0. dx 11.

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Q: dy Solve the differential equation y -dx

A: For solving this question, We know the basic of integral; and Product Rule in logarithm In this…

Q: Find the general solution of the differential equation dy/dx = 6 − y

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Q: Find the general solution of the differential equation dy/dx = ( y − 1)2

A: Given differential equation is, dydx=y-12

Q: dy Solve for the differential equation dx 2y = x cOS X. x2 -

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Q: Solve the differential equation dy 6y x > 0. dx

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Q: Find the general solution for the differential dy _ 1 equation: dx x - 3

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Q: Solve the differential equation dy/dx = (1 + y) ex , y 7 -1.

A: Consider the following differential equation: dydx=1+yex11+ydy=exdx Integrate both sides of above…

Q: Find the general solution to the differential equation dy = tan y. dx

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Q: dy = ay solution of differential equation is dx %3D

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Q: ydy + (xy² – x) dx = 0; when x = 0, y = -1

A: Given:- ydy+(xy2 -x) dx=0 To find:- Particular solution of given differential equation x = 0 , y =-1

Q: 2 dy dy + dx dy + dx Solve the differential equation y = 1 + +. for | x |< dx

A: Given that: y=1+dydx+dydx2+dydx3+...      for |x|&lt;1

Q: dy Verify y =x* is a solution to the differential equation = xyz. dx %3! 16

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: d'y 5. Solve the differential equation +2+ y= e* , using the long method of reduction dx dx of order…

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Q: dy y x+y 4. dx х-1

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Q: What is the order of the differential equation? dy = 2x +3 dx 1 4

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Q: dy Solve the differential equation - 2y= xex with the initial condition y(0) = 1. dx

A: The given differential equation  dydx-2y=xex It is a linear differential equation of the form…

Q: Solve the differential equation. dy/dx = 9x sqrt(y), for y ≠ 0

A: Given : dydx = 9xy, y≠0

Q: solve the given differential equation. ex+y dy − dx = 0.

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Q: dy Solve the differential equation dx ху+2у-х-2 - ху-Зу+x-3

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Q: Solve the differential equation. dy = xVy dx for y + 0

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Q: dy Solve the differential equation 1-y? %3D dx

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

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Q: dy dx || x3 2+y²

A: Given differential equation, dy/dx= x³/(2+y²) So, (2+y²)dy=x³dx

Q: Find the general solution of the differential equation. dy 10 dx y=

A: Differential equations

Q: dy 4) Solve the differential equation - = sinx, y(x) = 2 dx

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Q: Find the general solution for the differential equation.   dy/dx +2y=18

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Q: Q3/ Solve the differential equation. dy + x³y = – sec (xy) dx

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Q: Solve the differential equation of dy/dx + 1/3 y = e^x y⁴

A: Divide both sides of the given differential equation by y4 to obtain the right hand side y free.…

Q: Q2: Solve the differential equation ; dy sin x + 1 ,y(0) = -1 dx

A: The differential equation is given by dydx = sinx+1          The initial condition is given by y0…

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.