1. Find the general solution of 3 + = y*(2x*) dx

Q: 1. Determine the general solution of (x + 3y)dx - x dy = 0

A: Here in 1. we have to find general solution of given differential equation,        As per our…

Q: 3) Find the solution of Initial Value Problem dy 2x-sin y dx 2x cos y ; y(4)=0

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Q: 1. Find out the integrating factor and solve: x dy + (3x + 1) y dx e-3* dx.

A: First we will write the given differential equation in form of linear differential equation then we…

Q: 3. Solve the initial-value problem: 2 dy = 2xy + 3y y(1) = dx 1

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Q: 10.Obtain the general solution of y(8x – 9y)dx + 2x(x – 3y)dy = 0

A: First we find tha integrating factor of given differential eq then we get exact differential eq.So,…

Q: Solve the initial value problem. dy 3 dx - = x˚ (y - 5), y(0) = 9

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Q: 3. General solution of (ylny - e-xy)dx + ( + xlny) dy = = 0

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Q: Solve the initial value problem dy/dx=2/x+1, y(0)=2.

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Q: Find an explicit solution of the given initial-value problem. x2dy 3D у - ху, у(-1)%3D -4 dx

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Q: Find an explicit solution of the given initial-value problem. dyy²-1 = y(7) = 7 dx x² y =

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Q: Solve the initial value problem. dy =7- dx 1 y(1) = 11

A: Let's find.

Q: 3. Get the general solution of the differential equation (x+2y-4)dx- (2x+y-5)dy%3D0.

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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: Solve the initial value problem. 6. dy dx (8 + x) 2 Y(0) = 8

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Q: initial-value

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Q: Solve the following initial value problem. dy 1 --X, x> 0; y(6) = 3 dx x2

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Q: 3. Solve the Bernoulli DE: 5 dy - 5y : dx | - 2

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Q: Solve the initial value problem. dy + 9xy = 4x, y(0) = - 3 dx

A: This question is related to differential equations, we will solve it using given information.

Q: 4. Solve the initial value problem- dx dy 3x? +4x + 2 2(у-1) y(0) = 2 and state the interval in…

A: Given differential equation is : dydx=3x2+4x+22y-1 To solve the given differential equation.

Q: Solve the initial value problem: (4y + 2x – 5)dx + (6y + 4x – 1)dy = 0, y(-1) = 3 Clearly label your…

A: Initial Value Problem: In multivariable calculus, an initial value problem is anordinary…

Q: 2. Find the general solution of d²y dy +5- dr.² dx 6y=0

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Q: 1. Solve the initial value problem dx - x* (1+ y) = 0, y(0) = 5.

A: Explanation: Given that,  dydx-x6(1+y)=0, y(0) Now,  dydx=x6(1+y)1(1+y)dy=x6dx

Q: Can i get help step by step?

A: To determine the solution of the initial value differential equation.

Q: Solve the initial-value problem d²y 4- - 4 - 3y = 0, y(0) = 1, y'(0) = 5. dx2 dy dx

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Q: Solve the initial-value problem dy/dx+(3/x)y=x^2+x, y(1)=4

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Q: Please help. State P(x), Q(x), and integrating factor v(x).

A: Given,

Q: Solve the initial value problem 2(y- 1)dy = (4x2 + 5x – 1)dx for y(0) = 2 %3D

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Q: Solve the initial value problem (x² + 4)- dy + 3xy = x, y(0) = 1. dx

A: Given the differential equation,  (x2+4)dydx+ 3xy = x , y(0) = 1 (x2+4)dydx+ 3xy=x(x2+4)dydx=x -…

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

A: To find the solution of the differential equation we use the method of separation of variables. We…

Q: Find general solutions of bernoulli differential equations.   xdy + ydx = x^3 y^6 dx

A: For linear differential equation ,dydx+P(x) y = Q(x)Soultion is :y x I = ∫IQ(x) +Cwhere I = e∫P(x)dx

Q: Solve the initial value problem. 5x dy = 0, y(2)= 1 4xy + 4xy dx

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Q: Example 5: dy Find the particular solution of, y(1+x²)÷= 2x(1 – у?); y(0) = 0 dx

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Q: Solve the initial value problem: dy x(1+ y)²; y(0) = –3 dx

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Q: Solve the initial value problem: dy/dx= (1/(2sqrt(x)))+2 y(1)=3

A: Solving the initial value problem.

Q: 3. Write the the differential equation by separating the variables. dy = 7x-2 dx

A: Given,          dydx=7x-2

Q: -dt solves the initial value problem 35. Show that y = x² + d² y 2 x²* 3; y'(1) = 3, y(1) = 1. dx…

A: Given

Q: Solve this homogenous differential equation (separable of variables) problem:…

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Q: Solve the initial value problem: dy/dx= (5x^4)(y^4) ; y(0)= 1/2

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Q: solve initial value problem dy/dx=x(x^2+1)/4y^3,y(0)=-1/2pi

A: Follow the steps below to solve a differential equation by the variable separation method. First,…

Q: 3. Solve the initial Value Problem x dy +(y-cos x)dx = 0, y )=0 %3D

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Q: solve the initial value problem dx/dt=x-x^{3} with x(0)=1 Please provide valid answer

A: Given differential equation is

Q: 1. Solve the initial value problem. dy -= f'(x) = x* - x³ +x – 1, f(0) = -3 dx

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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: What is the particular solution of the differential equation (x+y) dx + (x - y) dy = 0 when x = 0…

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Q: 2. Obtain the general solution of: xy dx – (x² + 3y²) dy = 0

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Q: dx dy dx dy Use elimination to solve: + = e'; -= *+

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Q: Solve the initial value problem. dy (x²+ 1) . (x²+ 1) + 3x( y – 1) =0, y(0) =2 dx

A: topic - differential equations