Solve the ODE x dx – y – 3x* cos²(), with y(1) = 0. %3D

Q: a) Solve the following differential equation by IF method y = y tan(x)- sec(x); at y(0) =1

A: Given differential equation is, dY/dX -(TanX)*Y = -Sec(X) Compare above equation with general form…

Q: Part 1: 1 1. S *(In x)3 dx 2. Se3x cos x dx 3. S(1 + x²)e-*dx 4. So x²e*dx

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Q: 15. Given 0 0 2π, solve 2cosesine = cose

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Q: The following ordinary differential equation is given, where y = y(x) y′ + (x/2)−(5/x)− 3 = 0 At x…

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Q: Solve the following differential equation (x+1) + 2y = (x + 1)ž dx

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Q: [3 – e -kl – cos x + log(x²)]dx = 0

A: Given,∫a5 3-e-x-cos x+log x2 dx

Q: Q1: Find dy/dx for the following functions (solve four only):- (1)5 + 5*y = In sin- e* (4) y =…

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Q: 12 Solve the equation. d²x dx + 4 + 3x = e-3t dt2 dt dx given that att= 0; x =} and = -2. dt

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Q: 4. Solve the following integral equation: y(1)-y(u)e"du = e %3!

A: The given integral equation is                                                    y(t)-∫0ty(u)et-u…

Q: 4. Solve the following differential equation: dy dx sin x + y cos x = sin x cos x

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Q: Q2. Solve the following differential equation. Given that when x = 0, y = -0-9, and- dy = -0.7. dx…

A: The ordinary differential equation involves derivate of single independent and single dependent…

Q: The differential equation: a+b+c=0 has a solution given by: x = eat (A sin ßt + B cos ßt) If a = 5,…

A: The given differential equation is ad2xdt2+bdxdt+cx=0; a=5 , b=9, c=8. The given solution is…

Q: If the function f (x) solves the initial value problem dy E (х + 1)-И dx -1/2 IT • cos(TX)

A: Givendydx=x+1-1/2-πcos(πx)

Q: i) Solve: (1+ydx = (tan-y-x)dy. %3D ii) Solve; ylogydx + (x- logy)dy = 0.

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Q: dy 3. = y tan x – y² sec x dx

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Q: 2. Solve the following differential equation. Be sure to state any restrictions on x and y when…

A: The solution is given as

Q: Consider the following first-order ODE where y is the dependent variable and x is the independent…

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Q: Solve this problem in digital format (Not by hand) step by step Solve the initial value problem by…

A: By the method of Separable of Variable

Q: Solve the following Exact Differential equation. (x + sin y)dx + (x cos y – 2y)dy = 0 %3D

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Q: Solve the following differential equation. Then find the value of then function y at the given…

A: I am attaching image so that you understand each and every step.

Q: dy sec²(-x + y) dx

A: To solve the given differential equation

Q: Given the following ordinary differential equation   y'=4y What is a solution for  y(x) such that…

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Q: Solve the following linear differential equation. 1. dy/dx - y/x = (x+y)/x-1

A: note : As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: IL. Solve the following differential equation by the form of substitution. 1. Dy/dx + y/x = x 2.…

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Q: Solve the following differential equation d*y dx +96(x+1)' +104(x+1)* +8(x+1)+ dx 4 +96(x+1)° «²y…

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Q: Q2: Solve the following differential equations: {[1+ y*] sin(xy) + xycos(xy)}dx + {[1+x*] cos(xy) –…

A: Given            1+y2sin(xy)+xycos(xy)dx+1+x2cos(xy)-xysin(xy)dy=0

Q: Solve the following differential equation 16(x+1)*Y ' +104(x+1)* 4 d*y +96(x+1) 96(x+1)³ d°y…

A: Given equation can be written as by puting  X+1 =ez   Log(x+1) =z [16D(D-1)(D-2)(D-3) +…

Q: Q3: Solve the given Exact Differential Equation (Cosx Sinx - xy?)dx + y(1- x2)dy = 0; y(0) = 2 %3D

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Q: Solve the following initial value problems: y' + (tan x)y = cos² x; y(0) = –1 %3D

A: We are given the Differential Equation : y'+(tan x)y=cos2x--(1) This  is a first order linear…

Q: xcos²(y)dx + tan y dy = 0, y(6) =9

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Q: For what value of k is the differential equation (6xy³+ cos y)dx + (3kx²y² – xsin y)dy - О ехаct? A…

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Q: 6) x²y" – 3xy' + 5y = 0 ;yı = x² cos(ln x)

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Q: Solve the Fo llowing differential equation (1+g) dx (bany-x) dy

A: The given linear differential equation is Solve the equation for dx/dy Compare the above equation…

Q: IL. Solve the following differential equation by the form of substitution. 1. Dy/dx + y/x = xy

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Q: Solve the following differential equation xy' +3y= - (x'tanx) y Select one:

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Q: Q2: Solve the following differential equations: {[1+ y*] sin(xy) + xycos(xy)}dx + {[1+ x²] cos(xy) –…

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Q: Solve the following differential equation. k) (1+x² +y° + x°y°)dy = y°dx

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Q: (xy – 4 ln a + x? sin x2) da + a? dy = 0

A: Please check step 2 for the solution.!

Q: Solve one of the following initial value problems for y as a function of x: 2. - 1, y(0) = 1 %3D dx

A: The given initial value problem is                  dydx=1x2+1-1,  y0=1 ........ (i) We have to…

Q: Solve the following Differential Equation y' = y tan x; @y(0) = 1/2 n

A: Given:- y' = y tan(x)  , y(0) =1/2  To find :- Particular solution of given differential equation

Q: Q2) a) Show that the following Differential Equation is exact. cosx.cosy+2x y' sinx.siny+2y b) Solve…

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Q: Solve the following differential equation. 1. (x+ sin y) dx + (x cos y- 2y) dy = 0

A: As per guideline we have to solve one question Please repost other question again

Q: Q3/ Find the differential equation of the following curves where A and B are arbitrary constants: y…

A: A differential equation contains either partial derivatives or ordinary derivatives of different…

Q: Q2/B) Solve the following differential equation by using homogenous D.E method dy %3D dx

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Q: 3. Solve the following differential equation: x(1+ y²) y (1+x?) dy dx

A: Use method of separation,

Q: Solve the following differential equation and match the co x dx+ ydy=x'ydy-y'xdx dy +y tan x=see x…

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Q: Solve the following initial value problem for the unknown function y(x) a) y' = 2xy², y(1) == b) 2…

A: Topic:- application of integration

Q: dy + tan x tan y = COS X sec y 5. dx

A: Let's find.

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.