If y = f(x) is the solution of (-x – 5)dx + (x² + 8x +17)dy = 0, f(0) = }In(17) + arctan(4), then %3D Lütfen birini seçin: O a. f(-4) = 1 O b. f(-4) = 0 O c. f(-4) = 2 O d. f(-4) = 3 O e. All the previous answers are not correct.

Q: 4. Find the particular solution of y(x² + y²)dx + x(3x² – 5y²)dy ;where x = 2 and y = 1. -

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Q: Solve using separable differential equations dv 1- 4v2 ,when x = 3, y = 2 3v dx

A: The given differential equation is: xdvdx=1-4v23v          x=3  when y=2

Q: dx 5x cos(3t) dt with x(0) = -4.

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Q: I am still having troubles trying to effectively solve e^6x(cos7x)dx by integration by parts.

A: Let u = cos7x , dv=e^6xIntegrating by parts:

Q: 3. Find for the simplified general solution of (1 + x³)dy - x²ydx = 0

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Q: 2) A: By using partial method solve [2x² cos x dx

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Q: 4. Find the General and Particular solution of dy -8 sin 4x ; y = 6 when x = 0 dx dy

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Q: [  (1+ xsiny)dx - x2cosydy = 0  ] How can I find the solution "y" of this equation?

A: We shall use basic knowledge of first order ordinary differential equations to solve this question.…

Q: Use separation of variables to find any solution to the partial differential equation uxt-x²e4t

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Q: Solve the initial value problem. 2x* - х - 4 2 dy X dx (x+1)(у+1) y(1) = 3

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Q: What integral equation is equivalent to the initial value problem y′ = ƒ(x), y(x0) = y0?

A: Write y'= dy/dxThen separate the variables.

Q: Find general solution of (4x + 6y)dx + (8x + 12y − 6)dy = 0 (DE WITH COEFFICIENTS LINEAR IN 2…

A: We have to solve given problem:

Q: Use variation of parameters to to find the general solution of the non-homogeneous Euler-Cauchy…

A: To Determine :-  Use variation of parameters  to find the general solution of the non-homogeneous…

Q: 3. Find the general solution of differential eguation y" - v' - 6y = 0

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Q: Obtain the General Solution (x-1 )dx - (3 x -2y -S) dy = 0 MAM

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Q: 2. Give the general solution of xy'dy = (x³ +y³)dx in explicit form.

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Q: 2. Find the general solution of (2x-3y-2) dx-(x-2y)dy = 0

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Q: 2. Solve x². dy + 2xy = 4x³ using an + 2xy = 4x³ using an Integrating Factor. dx

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Q: Find the partial differential equation by eliminate the arbitrary constants a,b,c for ax+by+cz=1

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Q: How do I find the general solution of y''- 2y'= e^x * sinx using the method of variation of…

A: y''-2y'=ex sin x Auxiliary Equation: m2-2m=0⇒m1=0, m2=2 Complementary function  :  y=c1+c2e2xthis…

Q: Obtain the particular solution of (3siny-5x)dx+2x^2cotydy=0 using Bernoulli's Equation. (Complete…

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Q: What is the solution of the initial – value problem = x dx with y(0) = 1. and y'(0) = –2 ?

A: This is a problem of IVP.

Q: 11.Solve dy - x+) y(2) = 2 by Fourth order Runge-Kutta Method at x = 2.5, and x = 3 %3D dx

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Q: Use a technique of integration or a substitution to find an explicit solution of the given…

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Q: 4. Solve (D² -1)y =(x'+2x² + x +6)e²* using differential operators method.

A: Let us consider differential equation: ay''+by'+cy=f(x) Write auxiliary equation to get…

Q: Solve the initial value problem given by y' = (x − y)2 ,  y(0) = 0 What is the interval of…

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Q: Find the largest interval which includes x=0 for which the given initial-value problem has a unique…

A: Find the largest interval which includes x=0 for which the given initial-value problem has a unique…

Q: Find the particular solution of the curve which passes through the point (1,2) if the equation of…

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Q: What is the value of the coefficient d of the equation y = ax + bx² + cx + d so that it will have…

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Q: The integrating factor of the differential equation 2xy dx + (4y + 3x^2) dy = 0 is . Does not exist

A: Ist question was incomplete I have to do the second question Please repost ist question correctly

Q: 2. Find the particular solution of (3sin y- 5x) dx+2x cot ydy = 0 ;y(-1)=-

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Q: what is the solution to the differential equation 2\sqrt(xy)(dy)/(dx)= 1 at y(4)=1

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Q: Find the general solution of DE:  1. (x-4y-3)dx - (x-6y-5) dy = 0

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Q: How do I solve dx/dt+2x=3 with a particular solution of xp=3/2?

A: To find the general solution of the equation, given the particular solution

Q: 5. Find the General and Particular solution of 2 = 3y ; y = 3, when x = 0 dy dx

A: We have dydx=3y Now, we can write this as: dyy=3dx Now, integrate both sides: ∫dyy=∫3dx⇒lny=3x+C…

Q: 4. Find a particular solution of y" + y' = cost cos 2t cos 3t.

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

Q: 2. Find the particular solution of Vx2 + y2 )dx – x dy = 0 ; y = 1 when x V3. -

A: Given differential equations homogeneous differential equation of first order we will do the…

Q: 4. Obtain the general solution of x² y2 = dx

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Q: In - dy + (csct) y = ²n (- + == ), 4(-4)=3 1 -7²-25 dt

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Q: How do I solve this non-exact DE (4x+3y-7) dx+ (4x + 3y+1) dy=0?

A: Consider the substitution, z = 4x + 3y

Q: Obtain a numerical solution of 2y + y - x=0 using Euler's method with step size equal to (0.5) and…

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Q: A- solve = x + y² with condition y (0) = 1, x o= 0 to x =0.2 and h = 0. by Rung kutta dx method 4th

A: The given differential equation is dydx=x+y2 with conditions y0=1, x0=0 to x=0.2 and h=0.1.

Q: If we use the Method for Variation of Paramet nonhomogeneous differential equation for wh W, =…

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Q: A cylindrical tank holds 22 liters of water. At time t = 0, two taps are opened simultaneously, the…

A: Please check step 2 for the solution.

Q: Solve (5x2y2 O a. b. 2 ln 3 In a In xy² + 17y²) dx (x+2)³(x²+9) y³ |(x+2)³(x²+9) Y - -1 3 tan-¹() =…

A: Given 5x2y2-xy2+17y2dx-x3y+2x2y+9xy+18ydy=0

Q: 2. Give the general solution of xy dy = (x³ + y³)dx in explicit form.

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Q: 4. Find the general solution of (x + y³) dx = 3xy² dy

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Q: Find the particular solution of the differential equation (2xy - sin x)dx + (x² - cos y)dy = 0, when…

A: Exact differential equations