(b) Solve the IVP (3xy – y²)dx = (xy – x²)dy y(-2) = 3 - %3D %3D

Q: 5 (x² + y² )dx dy -5 J –1

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Q: a. Solve = y(1 -1). dy dx

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Solve the D.E. (x +3y )dx- 2xy dy = 0

A: Find your answer below

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Q: dy Зу +4 Find the general solution: %3D dx 2y + 3

A: Topic - differential Equationd By separating Variables method

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Q: Find the General and Particular solution of = 4y ; y= 3,when x = 0 dx

A: Given: dydx=4y

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Q: Q2) Solve the D.E dy - (2x/1-y2)dx 0 %3D

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Q: Solve. d²y dy -(2x+1): +(x+1) y=(x² +x-1)e²* dx dx

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Q: solve DE (3xy+y2)dx +(x2+xy)dy=0

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Q: solve (x-y)dx + (3x+y)dy = 0 using homogenous

A: We know that if a function is homogeneous if f(tx,ty) = tnf(x,y). Here n is degree of homogeneous…

Q: Obtain the particular solution when x = 1 and y = 1 yl? - y² + 1) dn - xlx? - y? - 1) dy = dx – x(x²…

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Q: (x² + y²)dx – xy dy = 0

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Q: Obtain the general solution to the equation. 5. dx + (x – v²)dv = 0

A: Given that: dx+(x-y2)dy=0

Q: Solve th D.E using Exact -(3x² – 6.xy)dx +(-3xr' – 2y)dy = 0

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Q: Obtain the general solution to the equation. (dy/dx)-y-e^3x=0

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Q: Solve th D.E using Exact (6x² – y +3)dx+(3y – x – 2)dy

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Q: solve the DE:   (2y^3-x^3)dx+3xy^2dy=0 ; y(1)=1 using 3 methods.

A: Let's find.

Q: Q2/ solve; A: dy - = e* * y3 dx x+1

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Q: Find the General and Particular solution of = 3y ; y= 3,when x = dx

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Q: V16-y 1. 16 x2 x dx dy -

A: As per our guidline we cna solve maximum one question , you can re-post other question

Q: dy y 5. Solve dx 5(x-2)y2 %3D (х- 2)

A: We first convert the given differential equation into the linear differential equation, then solve…

Q: The general solution of (y-1)dx −2(x+y+1)dy=0 by CL2V is

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Q: dx - My- dy -5+e

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Q: 4x − 5y + 3)dx − (2x − 3y − 1)dy = 0 how solve this problem?

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Q: Solve D.E using Exact from first order (6x² - y+3)dx+(3y² – x- 2)dy

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Q: Find the general solution of y'dx+(3xy+ y² –1)dy = 0

A: The differential equation is given as , y2dx+3xy+y2-1dy=0 find general solution.

Q: Solve for the DE: (3x²y - y)dx + (x³-x+2y) dy =0 ; y(0)=2

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Q: Solve the homogenous diff equation of; dy dx x²(y² + 3) y(x³ + 1) 0

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Q: Solve the initial value dy/dx = 1/x2 + 1 - 1, y(0) = 1

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Q: (x-3y+2) dx +(3x+ 9y-12) dy -o 3.

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Q: Find an implicit general solution of ( x² + dx + 1+ 4x²y², - y*) dy = 0 %3D 1+4x²y?

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Q: Solve the D.E dy -(2x /1-y2)dx = 0

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Q: G3-y²sinx+303")dx+ (3xy² + 2ycosx + )dy = 0

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Q: Find the general solution of (y + 1) dx + (4x – y) dy = 0

A: Since we are given with multiple number of questions and our guideline is solve the first question…

Q: 1- (2 xy-4 y) dx+(3x²y-8x) dy30

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Q: Solve the IVP: - 8x + 7y – 7x + 2y dy where y(2) = 9 dx Solve your solution equation explicitly for…

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with  here we have

Q: Solve the DE. (1+x²)dy + [(1-x)²-xe^-x]dx = 0; when x = 0, y = −2

A: This is a problem of ordinary differential equation. first of all we will simplify it into dy/dx…

Q: x(y-3). * - xly-3) dy = x(y-3)dx nly-31= C y-3 e [y-ce 3 2. Pesticide was given to a colony of 8000…

A: we have been given an equation y'=x(y-3) which can be written as  dydx=x(y-3) here, we will use…

Q: find d^2y/dx^2 implicitly in terms of y and x  2y^3=3x^4

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Q: Solve: 3(1 + t?)(dy/dt) = 2ty(y³ - 1). %3D

A: Solve the integral 31+t2dydt=2tyy3-1. Use the separation of variable method. 1yy3-1y'…

Q: Solve this DE:  (x-y-2)dx + (3x+y-10)dy = 0

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Q: 2. Solve the equation (y²- 1) dy/dx -3y, given that when x = 13 y-l

A: Hello

Q: Obtain the general solution to the equation. dy - Y + 6x +5 dx

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Q: Solve the homogenous DE Solve: xy dx - (x + 2y)^2 dy = 0.

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Q: ) Solve the D.E xy(x²+ 1)dy- (y2 + 1)dx 0 %3D

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.