2e-0.8t dt, n = 5

Q: 11. (1– e'y) dt +- dy = 0, y(1) = 1

A:

Q: dx 8х — 9у dt dy = x + 2y x(0) = 2 y(0) = 1 - dt

A: The solution is given as

Q: Solve the differential equation dz/dt + 3et+z = 0

A: Use variable separable method for solving differential equation

Q: x2y3-y=x+x2 find dy/dt

A:

Q: Solve the differential equation. dz + 4et + z = 0 dt

A: This equation can be solved by variable separable form.

Q: 3. If 2 = x² – x* + 6x – 5, then dty evaluated at x = 1 is dx4 dx (А) 8 (B) 36 (C) 96 (D) 120

A: To calculate the nth derivative of function y, differentiate y four times with respect to…

Q: 4) Equation: 4x +9y² = 1 1 Given that dy/ dt =8, find dx / dt when (x,y)= 3 9

A:

Q: d?x ax dx ÷+ 9x = 0, when x(0) = 1 and (0) = 0 dt2 dt dt

A:

Q: 1?ei dt

A:

Q: Find the solution of the differential equation that satisfies the given initial condition. dp/dt =…

A:

Q: [(x²-y²)²] x+y -2 LEK 1J0 du dt

A: We have to find value of given double Integral.

Q: * = x- 2y+ 2z = -2x+y– 2z dt dy dt E = 2x – 2y+ z dt

A:

Q: Solve IVP: dx x + Y, (0) = 0 dt dy 4x + Y, y (0) = 3. dt

A: Since you have posted multiple question we are supposed to give solution of first one only ...kindly…

Q: dx dy -- x - 2y = 16te', 2x – dt - 2y = 0, x(0) = 4, y(0) = 0 dt

A: We will find out the required solution

Q: 1 1 LGt-5- At²est + Ceisinh Dt = [(s – 1)3 ' s² + 2s – 5]

A:

Q: Solve the following initial value problem: dy dt - 3y + 21 y (0) = 10 y(t) =

A: The general solution of a differential equation always contains a constant of integration. The…

Q: Solve x(1): dy/dt + x = 1; dx/dt -y + 4e¹ = 0; x(0)=0 and y(0)=0. O 7.88 O 3.78 O 9.02 -5.58 -6.75

A:

Q: y' – 4y = –1et and y(0) = -2.

A:

Q: dy 2х dx - y = 6e3t, dt dt dy 3x + dt dx - 3y = 6e3t; | dt x(0) = 3, У (0) 3 0.

A: Given, dxdt-2x-dydt-y=6e3t2dxdt-3x+dydt-3y=6e3t, x0=0, y0=0   We use the Laplace transforms…

Q: 2 + 4y = 2e* – 4e¯t, y(0) = 0 dt

A: The given differential equation is,  dydt+4y=2et-4e-t, y(0)=0

Q: Solve the following IVP: dy dt? dy 6. + 9y = e dt 3t

A:

Q: d² y dt² + 3 dy dt +2y(t) = 2e²¹ ; y(0)=0_

A:

Q: Show that if

A: To Determine: show that      dydt=ky1-y Given: we have y=11+be-kt Explanation: we have  y=11+be-kt…

Q: 1 y' = 1– sint - y(t)dt, y(0) = 0 0,

A: Given the equation y' = 1-sin(t) -∫01y(t)dt. Initially, we integrate both sides of this equation…

Q: 2. Find dy/dx a) y = dt, x> 0

A:

Q: If L= x + y dx dt and dy =3 dt what is dL dt when x=5 and y=12 Provide your answer as a decimal,…

A:

Q: 1/4 sec2(t) dt J-x/4

A: Given: I=∫-π4π4sec2tdt

Q: Solve y(1): dy/dt + x = 1; dx/dt-y + 4e¹ = 0; x(0)=0 and y(0)=0.

A:

Q: Solve the IVP dy/dt + 2(t + 1)y^2 = 0, y(0) = −1/8

A: To solve the IVP dy/dt +2(t+1)y²=0, y(0)=-1/8

Q: dy 3y=e"; y (0) = 1 dt %3D -

A:

Q: Solve the initial value problem. dv 8 t> 1, v(2) = 0 dt

A:

Q: dy The solution of the differential equation using variable separable = 3/1-

A:

Q: Solve the differential equation. dz + 7et + z = 0 dt

A:

Q: Solve simultaneous equation dx/dt=2x+3y , dy/dt=x+4y , x=-3 , y=1

A:

Q: Solve the initial value problem tdy/dt + 2y = t3 , t> 0, y(2) = 1

A:

Q: The Differential equation dx + 2x (y + 1). (y + 1)³/2 is dy equivalent to

A: We have to find equivalent differential equation. To find equivalent differential equation we can…

Q: Solve the differential equation. dz + 5et + z = 0 dt

A: We are entitled to solve only one question at a time so, I am providing you an answer of the same.…

Q: -18 21 dx dt -14 17 with the initial value 10 æ(0) =

A: Given that ; dxdt=-1821-1417x with the initial value. x0=105

Q: dx = x(x 1)(x + 1) dt has a solution that is

A:

Q: - 0.2 t N=N,e

A:

Q: Obtain the general solution to the equation.   (2t+y+5)dt−dy=0

A:

Q: dy dy + 7 dt + 10y = e-t dt2

A:

Q: d?x dx + 4 + 5x – 10 = 0, when t = 0,x = 0,x = 0 %D | dt2 dt

A:

Q: 4. (4y+ 21 - 5)dt +(6y+41 –1)dy = 0, y(-1)= 2 cs

A:

Q: d²x dx + 4- + 5x – 10 = 0, when t = 0, x = 0,x = 0 dt2 dt

A:

Q: Solve y(1): dy/dt + x = 1; dx/dt -y + 4et = 0; x(0)=0 and y(0)=0. 6.33 4.89 O 7.10 3.51 O 1.80

A:

Q: Solve the equation (4y+2x– 5)dx + (6y +4x– 1)dy = 0 subject to the initial condition y(-1)= 2.

A: Consider a first order linear homogenous differential equation of the form, Pdx+Qdy=0→1 where P=fx,y…

Q: t y + 4y + 3√ y(t)dt = 6-7 e²₁ y(0) = 1

A:

Q: zp dt

A: we have to solve the differential equation. dzdt+2et+z=0

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.