8. Solve the initial-value problem: xy = y3 – 2°, y(1) = 2 dx

Q: d'y of the parameter expression dx B. Find : = 3e y = 2e'

A: Given: x=3e-t, y=2et To evaluate: d2ydx2 We know that ddteat+b=aeat+b and ddtkft=kddtft To find…

Q: Use Picard's method to solve dx - Find y3(1)? -xy, y (0) = 1

A: Solution :-

Q: Find the solution for following variable separable equation: x² (dx/dy) = y - xy , y(1)=1

A: The main objective is to solve the given variable separable equation.

Q: Find dy/dx.

A: We have to find dydx: 2y-1=9x23+y Rewriting the equation, 2y-1=9x23+y2y-112=9x23+y We know the…

Q: 4. Solve: y" - 2y'+y= |

A:

Q: x - 2xy - 3y" : y(1)=; dx

A: The given equation is first order Bernoulli's ordinary differential equation. y'+p(x)y=q(x)yn The…

Q: Solve the equation subject to the given condition. dy 2 dx x +y-8e", y(1)-2

A:

Q: Solve the equation dy --y=-y*(x² +x+1); y(1)=2. dx

A:

Q: Solve for the value of C in the equation: dx 3y³ II (1-2x)dx 3 when y(0) = 1

A: The given differential equation dyy4+dx3y3=1-2x3dx We have to find the value C when y0=1

Q: e.Find the solution of equation (29) by replacing v by y/x  dy/dx =( y − 4 x)/( x − y) .

A: Given differential equation is dydx=y-4xx-y Given equation is homogeneous differential equation.…

Q: Qll Solve the Ivp y'= t = y(o)=0 ز

A: Given:y'=t ;y(0)=0

Q: Solve the following: dy 1. (x - y)= x + y dx

A: Hi there, At a time we can answer only one question and the exact one was not specified. So, I have…

Q: Find if y%3D cos (2x)+ 2еж: dx dy

A:

Q: - 2y 4 given that y = 3 and 4 when x = 0. Solve dx2 %3D %3D dx

A:

Q: dx Solve the first order homogenous equation ху dy 2y – x²

A:

Q: Solve the following D.Es: 1. (x + 1) = x(y² + 1).

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (c) Solve for each of the following. dx (i) Vĩ + Jỹ = 4 (ii) y = 2x2+1

A: We have to find the first derivative of given function.

Q: What is the general solution to the following equation: (dy/dx)= (y/x)+6x+1

A: Compare the given differential equation with standard form and calculate the integrating factor (IF)…

Q: If xy + y² = 1 find the value of dy / dx² at the point (0-1)

A:

Q: Solve the following D.E: dy 4. = dx xy3 1+x² ,y (0) = 1

A: 4)Given 1st order non linear differential equation is the following :by separation method we get…

Q: what is the yp(t) for the equation?

A:

Q: 2. Please calculate H(x) H(x) = ° e-M* dx

A:

Q: Solve the following initial value problem (y)dx+(y4-4x)dy=0 with x(2)=5/2.  For your final answer,…

A: Given,      (y)dx+(y4-4x)dy=0  and   x2=52