Find particular Solution of y-2y'ty =x-6x +2xe a 2.

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: 2. xyy' = 1+ y? when x = 2, y = 3

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Q: Find the general solution for the equation below by using vaiation of parameters method. y"+y=1/x…

A: We have to find the general solution of the differential equation by using a variation of parameter…

Q: Use Euler's method with step size 1 to estimate (¹), where y() is the solution of the problem y +…

A: Given that y'+3x2y=x2 Using Euler's method, find the value of  x at 1. Initial conditions are y0=3…

Q: 2. xyy' = 1+ y? ; when x = 2, y = 3

A: Given xyy' = 1+y2 and  x=2 >>> y=3

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. Solve (D-1)y (x'+2x +x+6)e using differential operators method.

A: Consider a homogenous differential equation: ay''+by'+cy=0 Write an auxiliary equation corresponding…

Q: Find the solution to the linear system of differential equations x' = -11x – 36y, y = 3x + 10y,…

A: we will find the general solution of the linear system of differential equations by finding the…

Q: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

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Q: 2. Find the particular solution of sin y(x+sin y) dx +2x² cos ydy = 0 :3(-1) = 2

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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: y"″ − 3y" − 4y' + 12y = 0 -

A: To find the general solution of the differential equation y'''-3y''-4y'+12y=0

Q: Solve x' = –3x – 5y, y' = x - y with initial conditions x(0) = –1, y(0) = 1.

A: Introduction: In order to solve x' = Ax, we1. First, determine the eigenvalue and eigenvectors of…

Q: В. Find the general solution of the differential equation by using (Variation of Parameters Method )…

A: .

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

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Q: y(4) + 8y″ + 16y = 0

A: Given, y4+8y''+16y=0

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: Q5: Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: Given the differential equation is y''-5y'+6y = x2e-2x

Q: Choose the solution value of x'' + w2x = fsinwt with initial conditions x(0) = 0 and x'(0) = 0

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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: Find the general solution of the differential equation by using (Variation of Parameters Method ) y"…

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Q: 4. Obtain the particular solution of (D² + 4) y = sin x + sin 2x

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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: Obtain the particular solution of (3x2-2y2)y'=2xy; when x=0. y=-1

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Q: Find the particular solution to the differential equation y - y - 2y =- 2e when y(0) = – and y (0) =…

A: The characteristic equation of the given differential equation is m2-m-2=0. So,…

Q: y(4x + y) dx - 2(x² - y) dy = 0

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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: y" – 4y' + 4y = 2x

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Q: Use separation of variables to solve the initial value problem. dy 2xcos² y; y(3) = 0 dx

A: Here we have to solve the givne differential equation.  dydx=2xcos2y; y(3)=0

Q: What is the solution of the differential equation of (2x° + ry? + 2y +3) dr + (x²y + 2x) dy = 0 ?

A: We have given differential equation,   Differential equation is of the form,     Mdx +Ndy=0 Firstly…

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

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Q: 4. Solve (D -1)y =(x +2x* +x+6)e" using differential operators method.

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Q: Determine the particular solution given the differential equations and conditions. 2= 3e* , y = 6…

A: dydx=3ex, find the particular solution and the function

Q: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: See this solution in below.

Q: Find the particular solution that satisfies the initial condition. y' +y=6e*; Initial Condition: y=3…

A: we camparing the given equation with dy/dx+py=Q  and solve it . see 2nd step.

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: 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: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

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: 4. Solve (D-1)y=(x'+2x+x+6)e using differential operators method.

A: Given: D2-1y=x3+2x2+x+6e2x

Q: solve the Initial Value Problem using Separation of Variables. y' = cos2x, y(0) = π/4

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Q: Find the Bolution to the initial value problem. | -y = 2€ %3D %3D

A: Given IVPy'''-y'=2e-t+9e2t  ; y(0)=0 ,  y'(0)=-1   , y"(0)=2 to find the the general solution use…

Q: Determine the solution of the differential equation у"+2y" - 5y - бу%3D0 that has values y= 3, y = 6…

A: The differential equation y'''+2y''-5y'-6y=0 where y0=3,y'0=6,y''0=12. Rewrite the equation using…

Q: Q3: if y'-f(y/x) where v-y/x Find a solution to the differential equation 2xyy'-y2+x2 =0 ?

A: Given

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

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Q: Find the particular solution of xy' - 4y = 0 ; initial condition y = 2 when x = 1.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.