Find explicit particular solutions of the initial value problems in Problem: dy Vx² – 16 y(5) = 2 2y dx 2 –

Q: Find the explicit particular solution to the initial value problem. dy 2= (x – 2)2; y(2) = 1 dx

A:

Q: Find the exact solution y to the initial-value problem dy/dx= x y^(1/2), y(1) = 4.

A: It is exact solution to the initial value problem.

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

A:

Q: , solve the initial value problem.

A: dydx=yln y1+x2

Q: Solve the initial-value problem (4y−cos y) dy /dx −3x2 = 0, y(0) = 0

A: 4y-cosydydx-3x2=0 On simplification, we get ⇒4y-cosydydx=3x2⇒4y-cosy dy=3x2 dx Now integrating on…

Q: Find the solution to the initial-value problem. dy = y³xe*, y(0) = 1 dx II

A:

Q: Find the particular solution for initial value problem.

A:

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

A:

Q: Find the particular solution for initial value problem.

A:

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

A:

Q: Find the solution to the initial value problem: dy = 5y dx y(x) = y(1) = 1

A: Introduction The initial value problem is solved using various techniques. In this question, the…

Q: Find an explicit solution of the given initial-value problem. x2 dy = y − xy, y(-1) = -3 dx y =

A: We can solve as follows

Q: dy 4. Solve the initial value problem : (1+x²). -= yx, y(1) = 2 dx

A: The given differential equation is 1+x2dydx=yx, y1=2.

Q: Find explicit particular solutions of the initial value problems in Problem: = 3x²(y² + 1), y (0) =…

A:

Q: Find explicit particular solutions of the initial value problems in Problem dy х. dx - - y = 2x²y,…

A: Given differential equation can be written as

Q: Find the solution of the initial-value problem dy - 2y = 2.x", y(2) = 8. dx

A: Convert this IVP into linear differential equation by dividing by x then proceed to fund Integrating…

Q: Find an explicit solution dyy² dx x² - 1 of the given initial-value problem. y(4) = 4

A:

Q: Solve the initial value problem: (2x – 3y + 4)dx + (x – 1)dy = 0; y(-1) = 2. %3|

A:

Q: Find explicit particular solutions of the initial value problems in Problem dy = 2xy² + 3x² y², y(1)…

A:

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: Find an explicit solution to the initial value problem: dy = dx y(x) = ex - 5y y(0) = 0

A:

Q: Solve the initial value problem: y(x) = 2x - 4y√x² + 1. dy dx = 0, y(0) = -4

A:

Q: Find the explicit solution of the initial value problem (xe^(x)+ ye^(x) - 2)dx+ (xe^x + 3)dy=0,…

A: Here we use the concept of exact differential equation

Q: Find the particular solution for initial value problem.

A:

Q: Find the particular solution for initial value problem.

A: Given a differential equation, dydx=5x+1y-5  initial value y(0)=2

Q: 6. Verify that y(x) = /E+ 9 is a solution of the initial-value dy problem 1 and y(0) = 3. 2y dx ||

A: To verifyy(x)=x+9 is  a solution of the given IVP dydx=12y

Q: Solve the initial-value problems. dy _ 1 dy x+1 a.- dx dy - = x²/x³; y(0) = 0 2- y(-1) = 5 ; y(1) =…

A: Solve initial value problems

Q: The solution of initial value problem y dy – xdx = 0, where y(0)=6 is

A: Here we have to find the solution of initial value problem         y dy - x dx = 0 , where y(0) = 6

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

A: The given differential equation is dydx=x+1x2.

Q: Find an explicit solution of the given initial-value problem. (1 + x4) dy + x(1 + 4y2) dx = 0, y(1)…

A:

Q: Find explicit particular solutions of the initial value problems in Problem: dy = ye*, y(0) = 2e 19.…

A:

Q: Solve the initial value problems    dy/dx=(x2+1)/x2 , y(1) = -1

A: The given differential equation  is

Q: Find explicit particular solutions of the initial value problems in Problem: dy = 4x³y – y, y(1) =…

A:

Q: Find explicit particular solutions of the initial value problems in Problem dy : бе 2х-у, у(0) %3D0…

A:

Q: Find an explicit solution of the given initial-value problem. 1 y(4) = 4 y = dy dx = y² x² - - 1

A:

Q: Find the solution of the initial value problem. dy y - 2, y(0)=3 dt 1+t

A:

Q: Find an explicit solution of the given initial-value problem. dy_y²_ 1 = y(4) = 4 dx 1 ||

A: The objective of the question is determine solve the differential equation.

Q: Solve the initial-value problem dy/dx + 3x^2y = x^2, y(0) = 2

A:

Q: Solve the initinal - value problem dy dx » y(6)=0 COsx - Sinz +y 0Lx s0.5 Using (a) Com pute the…

A:

Q: Find explicit particular solutions of the initial value problems in Problem: dy - +1 = 2y, y(1) = 1…

A:

Q: Find the particular solution for each initial value problem.

A: Given:  2x+3y=dydx; y(0)=1 To Find: Solution of given equation

Q: Solve the initial value problem dy - y = 2e' + 8e5t dt with y(0) 10.

A:

Q: The solution of the initial value problem: 1 dy X +1 dx 1 for which y(1) = 1 is y

A:

Q: Find an explicit solution of the given initial-value problem. (1 + x²) dy + x(1 + 4y²) dx = 0, y(1)…

A:

Q: Solve the initial value problems 1.dy/dx = 2x - 7, y(2) = 0    2. dy/dx = 10 - x, y(0) = -1

A:

Q: Find the exact solution y to the initial-value problem dy =ry'/2, dr y(1) = 4.

A:

Q: Find the particular solution for each initial value problem.

A: Given,xdydx=x2e3xy0=89

Q: Find the particular solution for each initial value problem.

A:

Q: Solve the given separable initial value problems 1)dy/dx=-2     y=3 when x=0

A:

Q: Find an explicit solution of the given initial-value problem. dy y (2) = 2 %3D dx x2-1

A: An equation which involves the derivative or differential coefficient is called differential…