b- y" -y+2y+ cos x, 05x y(0) -0.3, y()--0.1

Q: dy - sin x - y tan x = 3 e dx solution of differential equation is %3D

A: Introduction :

Q: 7- cos y dx + (x siny - cos²y)dy = 0

A: Note: as per guidelines we support one question in one request . kindly repost next question in next…

Q: (cos x cos y cotx) dx - sin x sin y dy = 0. -

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Q: x*cos(y/x)*dy/dx = y*cos(y/x)-x   find solution of that differantial equation.

A: Let us consider the differential equation of the form dydx=fyx  then to solve the differential…

Q: find ƒx , ƒy  . 1. ƒ(x, y) = ln (x + y) 2. ƒ(x, y) = sin^2 (x - 3y)

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Q: Q-1. Form the second-order differential equation using the parametric definition of y = asin0, x Y =…

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Q: Solve ODE for general solution: (2ysin(x)cos(x)-y+2y^(2)e^(xy^2))dx=(x-sin^2(x)-4xye^(xy^2)dy

A: Hence the given ode is exact. Obtain the general solution as follows,

Q: 3 - y cos xy - 4x ) dx + (- 2x+3y x cos xy + 2y) dy = 0 - | 2x+3y 2.

A: Compare the given equation with Mdx+Ndy=0 to obtain M and N. Calculate the partial derivatives of M…

Q: (cos 2y-3x²y³) dx +(coS 2y -2x sin 2y-2x*y) dy =o 2.[2x + y cos (xy)] dx + x cos (xy)dy=o 3. (xy²+…

A: Using method of exact differential equation.

Q: y' cos x + y sin x = 2cos³x sin x- 1 What is the particular solution when y(T/4)=3v2 ?

A: Given differential equation is y'cosx+ysinx=2cos3xsinx-1 we have to find the particular solution…

Q: Elimination of Arbitrary Constant (equation attached) 1. xcos(xy)+exlny=c

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Q: 2. cos x cos y dy-sin x siny dx = x² cos x sin y dx

A: The given equation is: cos x cos y dy-sin x sin y dx=x2cos x sin y dx Dividing it by cos x cos y we…

Q: 2. (2.xy – sin x}dx+ (x² - cos y ldy =

A: We will solve the given differential Equation.Below find the solution in the image.

Q: 3. dy - 2** + e 2x cos (x) + Cos(x) y Fuctor8 Integrating

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Q: 3x * y^4 = 5x * sin x + 4y ^ 3 * cos x + 5y * sin x

A: Given equation is: 3xy4=5x sin x+4y3 cos x+5y sin x

Q: RFind dy/dx in terms of x and y if cos²(8y) + sin²(8y) = y+4. |

A: Given query is to find the derivative of the given expression. Pp

Q: 4. (3sin y- 5x)dx +2x cot ydy = 0 Ans. x'(sin y-x) = csin²y

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Q: 5. (1- xy)-dx + [y2 + x(1-xy)-]dy = 0 6. (y- cos?x)dx + cos x dy = 0

A: Exact differential equation. An ordinary differential equation Mx,ydx+Nx,ydy=0 is said to be an…

Q: 2. Cosh X y sinh x 2 cosh x sin dx dy dxxy = 1 5. (1-x)

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Q: x(1- siny)dy = (cosx cosx – cosy -y)dx. 0.

A: The given differential equation is x1-sinydy =cosx-cosy-ydxyπ2=0

Q: 4. (y² cos x - 3x²y - 2x) dx + (2y sin x – x³ + Iny) dy = 0, when x = 0, y = e %3D

A: Note: According to our expert guidelines only one individual question is to be answered, kindly…

Q: INTEGRO-DIFFERENTIAL 2. y" - y'-y = cos(5t)

A: We have given a differential equation ,  y'' - y' - y = cos5t First we will find complementary…

Q: (cos x cos y cotx) dx - sin x sin y dy = 0 -

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Q: Obtain the differential equation of the families of circles with center on the line x-y = 0 and…

A: Formation of differential equation

Q: 7. xcos2y dx + tan y dy = 0

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Q: y^2dx + (x^2 + 3xy + 4y^2)dy = 0; when x = 2 , y = 1

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Q: (y-cos^2 x) dx + cos x dy = 0

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Q: The solution of variable separable differential equation -1+y* is %3D dx 1+x² a) tan y =tan x+c b)…

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Q: 4. (sin y - y sin x) dx + (cos x +x cos y- y) dy = 0

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Q: Find a solution for y in terms of x that satisfies the differential equation and passes through the…

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Q: Q-1. Form the second-order differential equation using the parametric definition of y = asine, x…

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Q: (sin y- y sin x)dx + (cosx + x cos y)dy = 0

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

Q: dy 1- cosh x dx + (sinh x)y = e-x - 2 dy 2- - y = e*/2y3 dx

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Q: y² cos x - 3x3y - 2x) dx + (2y sin x - x³ + Iny) dy = 0, when x = 0, y = e x² - 1) dy = ((1 + x)2 -…

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Q: i. y = x-% % -4Vx ii. y = x+Inx+ sin(3x) iii. y = x° cOS X y = x° cos x

A: Use product rule of differentiation

Q: Intergrate dy (2y-x) =In Co)

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Q: 2. sin x siny dy + cos x cos y dx = x² sin x cos y dx

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Q: (xSin 受)x x cas dy -y Cos X Cos

A: Thr solution is given in the next step.

Q: (y2 cos cos x – sin x)dx + (2y sin x + 2)dy = 0 -

A: The given differential equation is first-order non-linear ordinary differential equation:   First we…

Q: e) cos (x + y) - cos(x - y) =-2sinxsiny

A: The LHS of the given equation is cosx+y-cosx-y. Note that, cosA+B=cosAcosB-sinAsinB and…

Q: 7- cosy dr+(x siny-cos y)dy=0 8- (1+y)dx+(2xy+ y +1)dy = 0

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Q: cos(0)x – sin(0)y] sin(0)x + cos(0)Y T z || నా

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Q: 3. sin x cos y dx + cos x sin y dy

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Q: (8 cos x cos y + 4 sin x sin 2y + 1) dx – 8(sin x sin y + cos x cos 2 2y) dy = 0

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Q: 2 f(x)cos(n@,x)dx = %3D 27 cos(nx)ch. sin(nx) cos(nx) (2x) -sin(nx) + 2 11 f(x)sin(n@,x)dx =- [x…

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Q: 1. (sin y — y sin x)dx + (сos x + х сos y — у)dy 3 0 %3D 2. (1— 2x2 — 2х) у' %3 4x3 + 4ху 3. (Зx cos…

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Q: Hei! If y cos(xy) dydx = x=0 y=0

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Q: *= 1+?-,y = -x²,x > 0 2. = x³(y – x)² +2, y1 = x,x > o у 1. %D = x³ (y – x)2 + dx , Υ1 - x, x > 0 dy…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.