(a). Apply substitution method and solve 1 =dx.

Q: dx 2. 16e* +e-*

A:

Q: Solve the following by linear equation of order one: dy - (x3 - 2xy) dx = 0

A:

Q: SOLVE USING BERNOULLI'S EQUATION dy/dx=y-x(y^3)(e^(-2x))

A: Differntial equation

Q: Solve the DE dy 2xy-y2 dx x2

A:

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

A: Solution :-

Q: Identify the type of the equation dy dx and solve it.

A: Solution

Q: dy O. Solve for dx a²y³ = 2x

A:

Q: Solve the equation dy, 3y + dx +2 = 3x, y(1) = 1.

A:

Q: Solve dy/dx=ax+by+c

A: We need to use substitution method to convert it into separable form

Q: | 8. Solve the equation: dy/dx = x²e-4x – 4y.

A:

Q: (D3 + D - 10) y = 29e4x

A:

Q: Solve  (dy/dx) = e2x+y

A: The given differential equation is dydx=e2x+y

Q: Solve the equation y (x + 1) dy/dx = x ( y2 + 1).

A:

Q: Solve [y-2]dx+[x+y]dy=0

A:

Q: Solve the equation dy a - x- = a dx dy + dx

A: The given differential equation is a - xdydx = ay2+dydx.First, we will simplify this.a - xdydx =…

Q: 1. Solve the nonlinear equation x - 5 y? dy dx

A:

Q: Solve the first order inhomogeneous equation dy + 2y = 3x2 dx Hint:

A:

Q: dx t dy =

A: Please check step 2 for the solution.!

Q: Solve the equation dy y + dx ху 3

A:

Q: d’y dy Solve -+3y=e dx dx

A:

Q: dx -dy = 0 4. Solve

A:

Q: dª y + a°y .Solve =sec ax. dx

A:

Q: c). Using an integrating factor solve the equation dy , 4. +y= 3x dx

A:

Q: Solve the diffrencial equation.  4x3 y4 - Lny+(y/x)/-4x4 y3 + (x/y)-Lnx = dy/dx

A: Mdx + Ndy =0if ∂M∂y =∂N∂xIt's exact diffrential equation and then solution :∫y constMdx + ∫(terms of…

Q: 2. 2x5 = y(3x* + y²) %3D dx

A:

Q: Using integrating factor, solve  dy/dx - 3y = 6

A: To find the solution of the differential equation.

Q: 4. Solve dx - dy = 0 xy-1 xay

A:

Q: Solve the Bernoulli equation dy x+y = -2x“y* dx

A:

Q: Solve the equation J =dx = ! - 1

A:

Q: y=x√3-2x³

A:

Q: Solve the differeial equation: dy/dx=3x^2y^2

A: The given differential equation is dydx=3x2y2.

Q: Use Picard’s Method with 3 iterations to solve for y(0.1) and y(0.2), the equation dy/dx = x2+y2;…

A: Picard method: Consider the initial value problem, dydx=fx, y, yx0=y0 Then  yn+1=y0+∫x0xfx,yndx…

Q: 4. Solve dx - dy = xy-1 1 o = áp-

A:

Q: Choose a non-exact equation and solve. (xy- 2y?)dx - (x2 –- 3xy)dy=0 1.

A:

Q: Solve using Bernoulli's Equation 1. x^2(dy/dx)+y^2=xy

A: We have to solve the given equation

Q: Solve the IVP: - 8x + 7y – 7x + 2y dy where y(2) = 9 dx Solve your solution equation explicitly for…

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

Q: solve it by direct methode dy/dx = 1/4x2+4x+2

A: The given differential equation is,  dydx=14x2+4x+2 separate the variables, dy=14x2+4x+2dx

Q: Solve the exact equation   dy/dx= y/x

A: Given, dydx=yx

Q: Solve the equation. dx 2 dt t+ 4x хе

A: Given differential equation is

Q: what is the general equation to the equation dy dx 2 2 dx²

A:

Q: # dx -3 (sint) dt

A: We want to find derivative of the integral

Q: Solve the equation. dx 3 dt t+ 6x хе

A: We have to solve given problem:

Q: Solve dy/dx=(x+y)2

A:

Q: Se"dy 3.

A: We have to solve

Q: 2. Solve the equation (y²- 1) dy/dx -3y, given that when x = 13 y-l

A: Hello

Q: Obtain the general solution to the equation. dy - Y + 6x +5 dx

A:

Q: dy 3. (а - by)у dx

A: Bernoulli's differential equation

Q: Solve the equation. dy dx dx -- dy %3D

A:

Q: Solve the equations by variation of parameters. d2y/dx2 -dy/dx = ex cos x, x> 0

A: d2ydx2-dydx=excosx

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.