Solve equatian. the differentiql dy = 80-2y * Such that y=70 when x=0

Q: Solve the diff eq. (Homogenous) dy dx + x²(y² + 3) y(x³ + 1)

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Q: Find, the genetal Solution of the differehtial equation (2x+Y-3) dy= (f+2Y-3)dX

A: Given problem:- Find the general Solution of the differential equation   (2x + y - 3) dy = (x + 2y -…

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 dy sec y ax sec²y = (e²x + 4x)tany

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Q: a) Solve (x² – 1)dy + [2xy – (1 + last digit of your id)]dx = 0

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Q: = (x²ye 3xy²) dy dx

A: dx = x2yey3 - 3xy2 dy

Q: Solve for dy y = sec 2x² dx

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Q: 5. Solve using 2 techniques: (x - ky)dx + k(y – x)dy = 0 where k = a +b %3D Dind th diff

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Q: Solve by Exact method ydx- (2xy +y ²)dy so

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Q: ential equati x²y dy = C

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Q: dy y3 , У (0) : 1 dx 1– 2xy2

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Q: H-wlo Find the dliscontinnity point of &cz):

A: Since you have posted multiple questions. I am answering the first one. Please post the question…

Q: Only I method. Except Exact DE (x+2y-1)dx+(2x+4y-3)dy oo

A: First we campare the given differential equation Mdx+Ndy= 0 and then solve it.

Q: Solve using Bernoulli's Equation. y(6y^2 - x - 1) dx +2x dy = 0

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Q: Solve dy dy +y = 2sin(3x) dx? dx using the method of undetermined coefficient.

A: Given that,d2ydx2-dydx+y=2sin3x We need to find the solution of the given differential equation…

Q: SOLVE THE FIRST ORDER DE. (x³ + y*)dx + 8y³xdy = 0 when x = 4, y = 2

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Q: (1+ y²)dx + (x²y + y)dy = 0

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Q: Solve the first order inhomogeneous equation dy + 2y = 3x2 dx Hint:

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Q: dy Find dx x = 7 y = 2-1

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Q: Find the general solution: dy = tanxtanydx %3D

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Q: (3sin y– 5x)dx+2x² cot ydy = 0 3.

A: Given: 3siny-5xdx+2x2cotydy=0

Q: Solve : dy + Sec x tany=D0 /6

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Q: dª y + a°y .Solve =sec ax. dx

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Q: In? (In(ax)) dx,a >0 -dr, a a. 2x In(ax)

A: You can solve this problem using the substitution method

Q: Solve the DE using Variation of Parameters: y"+y = sec' x %3D

A: Given  The differential equation using variation of parameters. y''+y=sec3x

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

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Q: 2. Given that x2 + x-5 and y = when x = 2, find the value of y when x = %3D dx

A: Given: dydx=x2+x-5 and y=53 when x=2. Now, given equation dydx=x2+x-5 can be written as:…

Q: Solve by integrating factors found by inspection: y (x2 - y2 + 1)dx - x (x2 - y2 - 1) dy = 0

A: To solve: y(x2 - y2 + 1)dx - x(x2 - y2 - 1)dy = 0 ⇒yx2 dx- y3 dx+ y dx - x3dy +xy2dy +xdy = 0

Q: + 2y = 1- x>0 dx

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Q: Solve the differcential equation dy = xy - x, given that y = 2 when x = 0, expressing y in terms of…

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Q: 7) y = exz 8) y = 3 x ²

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Q: Q2) Solve (y+ysin x) dx - (cosx- 2xy +) dy = 0

A: Given differential equation is  y2+ysinxdx+-cosx+2xy-1y2+1dy=0 Comparing it with Mdx+Ndy=0, we get,…

Q: Use variation of parameters to find the particular solution to y"+y' – 20y = - 3400 sin(3t) Y(t) = |…

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Q: Solve (1 + y) dx = (tanly-x) dy

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Q: Solve dy / dx = 1 /( x^2 – 1) , for y(0)

A: Given,                        dydx=1x2-1;         y(0)=0

Q: Iny (x + Iny) dx - () dy =

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Q: Q3) Solve (ysin x + y²) dx – („+1 xsoɔ + *) - - 2xy) dy = 0

A: 3 Given differential equation is ysinx+y2dx−1y2+1+cosx−2xydy=0.......1. We have to find the solution…

Q: By using appropiate substitution, solve dy hpT i. x2 dx 1 = xy – y² ii. – 2. (2х + у)е2»+у | dx

A: Consider the provided question, (b) (i)

Q: Solve dy dy + y = 2sin(3x) - dx? dx using the method of undetermined coefficient.

A: We solve the given differential equation by method of undetermined coefficients.

Q: y (2xy + y²) dx + x (y² − x) dy = 0

A: According to question given:y(2xy+y2)dx+xy2-xdy=0y(2xy+y2)dx=-xy2-xdydydx=-y(2xy+y2)xy2-x

Q: Solve (5 + x²) Y 1 dy dx = x, and verify your solution. *+C Preview

A: Derivative

Q: Solve using Bernoulli's Equation 1. x^2(dy/dx)+y^2=xy

A: We have to solve the given equation

Q: Solve for dy when y = + 3x, x=2 and dx =0.5

A: The given problem is related to total differentiation.

Q: ydx = x(1+ xy4)dy

A: Given ydx=x(1+xy4)dy ⇒dxdy=xy+x2y4y⇒dxdy+x-1y=x2y3

Q: Solve Yor メ= o-5 X (6)=0 %3D dy

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Q: Solve the equation (2y³ – x³)dx + 3x²ydx = 0. correction to the 2nd term: dy

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Q: Solve using variaiton of parameter (D³ – 3D +2)y = (1+e2x)-1/2

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Q: 2. Solve the ODE using Separation of Variables. dy dx 5x²+4 y+1

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Q: y

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Q: Classify and Solve dy + (1- 2x)y = 4x ,x >0 dx

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.