dy_ 3x+2y dx 3x+2 у+2 X-1) = -1

Q: Solve the given initial value problem: sin(2x) dx + cos(3y)dy = 0, y (Do not need to solve for y.)

A: We have to solve the given initial value problem…

Q: Solve the initial value problem y dy/dx = sin 2x ; y(0)=2

A:

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: dy - y = 8e' + 8e* dt (0) = 9.

A: See the details solution in below

Q: Solve the initial value problem dy/dx=x^2+1/x^2, y=-1 when x=1.

A:

Q: Find the solution of the given initial value problem in explicit form. ㅠ sin (2x) dx + cos(8y) dy =…

A: Let's solve given diffrential equation.

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

A:

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

A:

Q: Solve the initial value problem dy/dx = sin(πx), y(2) = 2

A:

Q: Find an explicit solution of the given initial-value problem. (4)- dx 7(x² + 1), dt x = 1 %3D

A: To find an explicit solution of the initial - value problem : dxdt = 7x2+1 , xπ4 = 1

Q: Solve the initial value problem. dy -=x°(y- 3), y(0) = 8 dx

A:

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

A: Here we have to solve given initial value problem,

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

A:

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

A:

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: dy/dx= 2ex-e-x y(0)=5

A:

Q: Solve the initial value problem. dx dt -4tx=t Int+3, x(1) = 0

A:

Q: Solve the initial value problem.

A: Given differential equation is: dydx=3x+23 ; y0=1 We have solve the above equation. Then we get,…

Q: Solve the initial value problem dy/dx=2x−1x2, x≠0, y(1)=5.

A:

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

A:

Q: Solve each of the equations. Integrating Factors (4x2 – 4x y + 3y² + 2) dx + x (2x – 2y + 1) dy = -

A: The differential equation given is as follows: 4x2-4xy+3y2+2dx+x2x-2y+1dy=0 We will check the…

Q: Solve the initial value problems dy/dt = et sin (et - 2) , y (ln 2) = 0

A: Given: dydt=etsinet-2

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

A:

Q: Solve the initial value problem dy/dx= 1+x+x^2/2, with y=1 when x=0.

A:

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: Find an explicit solution of the given initial-value problem. () - 1 dx 3(x2 + 1), dt X =

A: Given query is to find the solution of the differential equation.

Q: Solve the Initial Value Problem. (1 – 3t)– dy - у %3D 0, у(2) %3D —4 dt

A: The given differential equation is 1-3tdydt-y=0...(1) The initial condition is y2=-4.

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

A: Use substitution y^4=v and find integrating factor

Q: Solve the initial value problem y"+y = cosx; y(0) =1,y'(0)=-1

A:

Q: Solve the initial value problem u(t) du dt 4u-+-3t u(0) = 9

A:

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

A:

Q: Solve the initial value problem dy/dx=x2−1, y(3)=7.

A: Given:

Q: Solve the initial value problem.

A: To solve the initial value problem.

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

A: Solving the initial value problem.

Q: Express the solutions of the initial value problems in terms of integrals. dy dx = √(1 + x2), y(1) =…

A: Consider the given equation as dx=1+x2dy

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

A:

Q: Find the solution of the given initial value problem in explicit form. 7 ㅠ sin (2x) dx + cos(7y) dy…

A:

Q: Solve the initial value problem. dy + y sin x = 2x cos² x, dx y(0) = 0 COS X - 2.

A: Given: cos(x)dydx+y sin(x)=2x cos2(x)

Q: Find the function which solves the initial value problem dy/dx= 3ex −2x;  y(0)=−1.

A: Given that dy/dx = 3ex-2x;   y(0) = 1.dy = (3ex-2x)dx            (By cross multiplying)Integrate on…

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

A:

Q: Solve the initial value problem given below. dy - 3y (-2 – y) dx

A: To Determine: solve the initial value problem.

Q: Find the solution to the initial-value problem. dy - y²e% sin(8x), y(0) = 1 dt %3D 1- te sin (8x)

A: Given

Q: dx 10х — х2, x(0) dt

A:

Q: Solve the initial value problem y"+2y'+2y = sin3x; y(0) =2,y'(0)=0

A: Given the differential equation:

Q: Find the solution of the initial value problem ty' +2y-2 sint, y(x/2)=1,

A:

Q: Solve the Initial value problem:   dy/dx= ((2y)/x) - 1 , y(1)=3

A:

Q: 4. (a) Solve the initial value problems, dy = sin t + 1; yE)=; dt (b) Evaluate V1 – x² dx. |

A:

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

A:

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.