In Problems 21 and 22 solve the given initial-value problem. 21. r4y dx dy 2ry 3y. y(1) = !

Q: The solution of the initial value problem 2" = 3y", y(0) = 1, y'(0) = 1 js

A: The given problem is to solve the given second order non linear differential equation with given…

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

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Q: , solve the initial value problem.

A: dydx=yln y1+x2

Q: Find an explicit solution of the given initial-value problem. (1+x¹) dy + x(1 + 4y2) dx = 0, y(1) =…

A: The given differential equation is 1+x4dy+x1+4y2dx=0.

Q: Proceed as in Example 6 in Section 2.3 to solve the given initial-value problem. dy 1 1, 01

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

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Q: Find the particular solution for initial value problem.

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Q: 2. Solve the following initial-value problem. dy (x + 1)+ y = In x ; y(1) = 10 dx

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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: Solve the initial-value problem y" + 4y" + 5y' + 2y = 10 cos t, y(0) = 0, y'(0) = 0, y"(0) = 3. %3!

A: The differential equation is y'''+4y''+5y'+2y=10 cos t , y0=0,y'0=0,y''0=3. The general solution of…

Q: dy 2 %3D

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

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Q: Find the particular solution for initial value problem.

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Q: 1. Solve the given initial-value problem. dy dr -y = x²e", where y(0) = 2

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Q: 6. Solve the initial value problem: dx (x² + 2y²). = xy, y(-1) = 1 dy %3|

A: First of all write the given initial value problem in MDX+Ndy=0 form which is the homogeneous…

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

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Q: 6. Solve the initial value problem: (2² + 2y^) Jy dx = xy, y(-1) = 1

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

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Q: 1. xy- - r, y(1) - 2 хр

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

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Q: 1. (a) y" = 0, y(1) = 3, y/(1) = –1 Find an explicit solution of the given initial-value problem.

A: Given problem:- 1. Find an explicit solution of the given initial-value problem.   (a) y"=0,y(1) =…

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

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Q: = 0, y'(0) = 4, y(0) = 6 dx

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Q: Find an explicit solution of the given initial-value problem.     dy/dx= y^2-1/x^2-1  ,y(3) = 3

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

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

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Q: Solve the initial-value problem y" + 4y" + 5y' + 2y = 10 cos t, y(0) 0, y'(0) = 0, y"(0) = 3.

A: SOLUTION-

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

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

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

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

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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

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Q: 6. Use Bernoulli's method to solve the initial value problem: dy x+ y = xy3

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Q: Solve the initial value problem 2 4 6 0 2 1 0 0 4 1 dX Х, X(0) - 1 dt 1

A: On comparing with  dXdt=AXA=246021004

Q: Solve the initial value problem. 1 dy y cos 0 Ө dө - У(п) — 1 y' +1

A: this can be solved by separation of variable.

Q: Find explicit particular solutions of the initial value problems in Problem 2 dy dx - cos? y, y(4) =…

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Q: Solve the initial value problem. 5μ 2. dy dt 2t sin y. y(1)=- The solution is

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Q: Solve the initial-value problem y" + 4y" + 5y' + 2y = 10 cos t, y(0) = 0, y'(0) = 0, y"(0) = 3.

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

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

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

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

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

A: Given,xdydx=x2e3xy0=89

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

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Q: 1. Find the solution of the given initial-value problem: dy + 6 + 8y = e, y(0) = y'(0) = 0. di? dy…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: (1) Solve the initial value problem ()+2²) dy- (2ay+ d= ylo)=/

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Q: Solve the initial-value problem dy + dx 2 e* + 1 \x – 1/ (х — 1)2 y(0) = 2

A: Given: dydx+2x−1y=ex+1(x−1)2

Q: In Problems 31 and 32, solve the given initial-value problem and give the largest interval I on…

A: We have to find the largest interval in which solution of differential equation is defined.