ĮY (E) = tV1 –- y2 lu(0) = Solve the initial value problem (IVP) Y, D7yz =tSリ-ye) y'= + =5T st=1 4'H: 1ST-02 :

Q: (1-x) y'= y?

A: We have to solve the given differential equation

Q: 6) Solve for y: 3"*1 = 9"-1

A:

Q: Solve (D² – 3D + 2) y = 2e3 +4 sec (e-)

A:

Q: Solve y' = y'x.

A: solve y'=y2x3

Q: B. Solve y' + = y²x*.

A: the given differential equation is: y'+4yx=y2x3 the differential equation can be written as:…

Q: Solve: y(4) + 18y"+81y = 0 y(0) = -4, y'(0) = 11, y"(0) = 60, y"(0) = -81

A:

Q: y' = 3x²+y² xy ; given that y(1) = 1 ; solve for y when x = 2

A: The given equation is; y'=(3x2+y2)/xy, y(1)=1.

Q: Find the general solution af the equation, y' = x(1- y).

A:

Q: y' + y = -I 4re 1+ yez discussed so far. Gue

A:

Q: Find y' if y= 8x y D

A:

Q: Differentiate. y = Y =_et %3D 3x2 y' = %3D

A: The detailed solution is as follows below:

Q: 3) y'+ 2xy = 2x3 =D2x' SOLVE

A: Given,y'+2xy=2x3This is the linear differential equation of the…

Q: Bernoulli's Equation Solve (dy/dx) - (y/x) = y2e^(x2) %3D

A: The Bernouilli ODE is in the form ofy'+p(x)y=q(x)ynAnd the solution is obtained by…

Q: y2(1+(y')2)=x+y'y find the general solution to the equation.

A:

Q: Solve: y''' – 3y'" – 6y' + 8y = 0 %3D y(0) = – 6, y'(0) = - 12, y'"(0) : - 54 %3D y(t) =

A:

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 2.1 Solve y' = 2xy. 2.2 Solve x' = 3xt² 3t², x(0) = 2.

A:

Q: Solve for y: y'=7y²², y = 3 when x = 1

A:

Q: Differentiate. Y(u) = (u-2 + u-3)(u5 - 6u²) Y'(u) = %3D

A:

Q: Solve IVP: y'''+4y'=x, y''(0)=1; y'(0)=0.

A: Given : y'''+4y'=x

Q: yr' = sec2 y

A:

Q: Solve: y''' + 6y'" – y' - 30y = 0 y(0) = - 2, y'(0) - 15, y''(0) = 45 y(t) =

A:

Q: solve y’ – (y/x) = xy2

A: We have to solve differential equations

Q: y' = (4x + y)?

A:

Q: Is function  y=x2 a solution for equation of (1-x3)y'-2x+x2y+y2=0? If it is, find the solution.

A:

Q: Determine the equation whose y'= Y/3x. 3x2 = y3 A 1 у? y= 3 x2 © x² = y3 1

A:

Q: x+1 Solve y'=- y +1

A: Differential equation

Q: Solve y' 8ry- 2a, y(0) = 4 %3D

A: