dy Use first approximate Picard's method to solve= 2x +3y, y(0)=2. %3D dx O a. x +6x+2 Ob. +6x+2 4 None of these Od. +2x+2

Q: Find the explicit particular solution of the initial value problem given. dy/dx = ye^7x, y(0) = 9e

A:

Q: 1. Test for exactness and find the particular solution of dx + + dy = 0 (1 – xy)? (1 – xy)² |

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution is: ∫Mdx⏟Take…

Q: Find ø(2) for a solution p(x) to the initial value problem: 2y dx = (x2 – 1)(dx – dy); y(0) = 0 %3D

A:

Q: Q3\ using Euler method, find an approximate value of y corresponding to x€ [0 -0.7], Given = x(x +…

A:

Q: Q5: Solve by using Modified Euler's Method. dy = x + cos(y) ;0 <x<1 ;y(0) = 1;h = 0.5 dx

A: Given the DE is dydx=x+cosy,0≤x≤1,y0=1,h=0.5. The modified Euelr's method is defined as follows:…

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

A: Consider the initial value problem x2+4dydx+3xy=x,      y(0)=1

Q: Q5: Solve by using Modified Euler's Method. dy = x + cos(y) ; 0 < x <1 ;y(0) = 1 ; h = 0.5 dx

A: Disclaimer: We use the modified Euler's method to solve a first-order ODE and find the value of the…

Q: Solve D.E using Exact from first order 2.xy dx +(x² +3y²)dy

A: To solve the given differential equation.

Q: Q1. Solve the IVP by finding appropriate integrating factor an (x² + y² – 5)dx – (y + xy)dx = 0,…

A: Consider the given differential equation Mdx+Ndy=0 The equation is exact if ∂M∂y=∂N∂x The solution…

Q: Solve (1+x ) = x²y, given that x=1 when y = 2 dx Find the particular solution for y in terms of x.…

A:

Q: A: Compute dy at (2, 1) where y = xcos2x dx B: Solve for x: a2 (y³ + vx-4 +y sin2x) < 4cos2r Тдхду…

A: Please see the answer below.

Q: Find dy/dx by implic differatiation. a) x^3-xy^2+y^3=1

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: using homogeneous d.e approach, solve (x^3-3xy^2)dx= (y^3-3x^2y)dy

A:

Q: Find dy/dxin terms of x and y if (x−a)^4+y^4=a^4. Assume that a is a constant. dy/dx=   implicit…

A: (x−a)4 +y4 =a4 a is a constant. dy/dx = ?

Q: Using Bernoulli's equation , find the solution of DE:  4xy dy/dx = y^2 + x^2 ; initial condition…

A: The solution follows as:

Q: OBTAIN A FAMILY SOLUTION FOR GIVEN EQUATION: dy/dx=(9x+4y+1)^2 Solve on paper

A: Solution: Consider the given Differential Equation is dydx = 9x+4y+12       ...(1) Let u = 9x + 4y…

Q: dy Solve the initial-value problem for y as a function of x. (49 – x²). dx = 1, y(0) = 4 Y =

A: We will solve this integration using trigonometric substitution as follows

Q: Solve the initial value problem. dy y = 7x e*, y(1) = 7 e - 7 %3D - dx The solution is y(x) =

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with   so here we have

Q: dx 1. a) Solve+ x = e-(1+last digit of your id)y 2siny. dy

A:

Q: dy Solve dx = xy using Runge-Kutta method for x = 0-2 given that v (0) I taking %3D h = 0-2.

A:

Q: cydo+(2x2+3y2–20)dy =0

A: Differential equation.

Q: Q6: Use classical fourth-order RK method to solve the following problem over the interval from x= 0…

A:

Q: 1. Solve for y, using the method of successive approximation. dy dx = x + y; y(1) = 1

A:

Q: 1. Obtain the particular solution when x = 1 and y = 1 5) dx 3 + y 3 dy = 0 y

A:

Q: Find the general solution of (x +1)3d²y dx? 1TE + 3(x + 1)² + (x+ 1)y = 6 ln(x +1). dy dx

A:

Q: Advanced Math dy/dx=sin(x)+1 using euler method h=0.01 y(0)=1 y(1)=?

A:

Q: 3. Obtain the Particular Solution when x = 4 and y = 1 (x+ y - 4)dx - (3x- y – 4)dy = 0 %3D

A:

Q: dy Q2/ Use Euler's method to solve + 1.2y = 7e-0.3x from x = 0 to x = 2 with the initial dx…

A: Given dydx+1.2y=7e-0.3x

Q: dy 1- Solve = cos x + y, where y = dx 2.0 at x 0 take step size h = Ax=

A: Given,         dydx=cosx+y Where y=2.0  at x=0   and h=0.1

Q: 4. Using homogenous D.E approach, solve (x³ – Зху?)dx %3D (у3 — 3x2у)dy. (v³ – 3x²y)dy. | 2 (ardai…

A: The given differential equation is; (x3-3xy2)dx=(y3-3x2y)dy.

Q: dr2 dx dx d²y, 7 dy , 9y 3. dr2 dy =1 at x = 1. dx = 0; y = 0 and x dx x2 4. Use the method of…

A:

Q: dy Solve the initial – value problem: = y² given that f(0) = -1 dx %3D

A:

Q: Q3)-(A) Solve the following simultaneous equations: dx 4t +x-y= cos(5) dt Int dx t -x +t == Int dt…

A:

Q: Q3\ using Euler method, find an approximate value of y corresponding to X€ [0 -0.7], Given = x(x +…

A:

Q: 4. Find the general solution of this DE using INSPECTION. dadx + aydy +(X² + y?)dx = 0

A:

Q: Determine the general solution of y = (3y³ + x) dy/dx & give the method of solution

A:

Q: dN = 47(- N MV² -)dv 2RT M -)3/2v² exp(- 2 TRT F(V)dV : where dN, the number of particles having a…

A: Given: FVdV=4πM2πRT32V2e(MV22RT)dV Obtain: &lt;V2&gt;=∫0∞V2fVdV Compute the integral with…

Q: 01 ation. Solve (1-x²)x+m²y=0 dx where x = 0, y=0, dy- dx

A:

Q: Solve the initial value problem show all work d^2y/dx^2 = 5-4x  y'(0)=8 y(0)=2

A:

Q: 2. Find the solution (implicit or explicit) dy (y+1) = 3sin(x). y(7)= 2 dx %3D

A:

Q: Find the general solution of the ODE. d'y dy +3. dx² dx Stre

A: Given d2ydx2+3dydx=5x+xex

Q: ev dy Solve the initial value problem given by y(1) = 2. %3D dx y

A: Differential equation: A differential equation is an equation which involves one or more derivatives…

Q: Find the complete solution First order DE dy = 2y3-ye dx Xe^y -6xy²-2y

A:

Q: (a) Without solving, explain why the initial-value problem dy Vy, y(xo) = yo dx 0. has no solution…

A:

Q: dy Use first approximate Picard's method to solve- dx +3y, y(0)=2. .a +6x+ 2 2 .b None of these .c +…

A:

Q: 1. Solve for y3 using the method of successive approximation. dy =x+ y; y(1) = 1 dx %3D

A: The given problem can be solved by the following method,

Q: Solve the homogenous DE Solve: xy dx - (x + 2y)^2 dy = 0.

A:

Q: olve the initial value problem by standard method  (x^2+3y^2)dx-2xydy=0,  y(2)=6

A: We need to solve differential equationx2+3y2dx-2xydy=02xydy=x2+3y2dxdydx=x2+3y22xy

Q: = x²y - 1.1y dx using (a) analytical method, (b) 3rd-order to 5th order RK Method with h = 0.25 and…

A:

Q: Solve the DE by Integrating Factors 1. y² dx + ( 3xy + y² - 1) dy = 0

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.