Solve the given equations by crammer's rule  2x - y = 17 3x + 5y = 6

Q: Use undetermined coefficients to find the particular solution to y'' – 3y' + y = 4t2 + 6t + 5

A:

Q: D. y" + y' - 3y = 4sin 2x

A:

Q: Solve for the general solution of - y? + 1 = 0 and the particular solution if y(0) = 1

A:

Q: Solve the equations 3x + y + 2z = 3; 2x – 3y – z = 3; x + 2y + z = 4 Using Gauss Elimination method

A:

Q: Solve by the method of substitution. 2. x+2y- 5= 0 4x +y- 6= 0 3. 2x+ 3y = 13 5х - 2y %3D 4 %3D 4x +…

A: 3x-2y-5=0    →14x+3y-52=0   →2 From equation (1), we get 2y=3x-5⇒y=123x-5 Now put y=123x-5 in…

Q: find the general solution : 6- y' +4y = 4 sec 2x

A:

Q: Find the general solution to y = (1 – x)y² + (2x – 1)y – x. - Note that you can find an obvious…

A: Given:-  y'=(1-x)y2+(2x-1)y-x. The general form of the Riccati method is  y'=s(x)y2+q(x)y+p(x).…

Q: Obtain the general solution to the equation.

A: dydx=yx+5x+9dydx-yx=5x+9Integrating factor If=e∫-1x dx                                =e-ln x…

Q: 3x3 = 8 - 2x1 + 2x2 + 9x = 7 X2 + 5x3 = -2

A:

Q: If x, y, z E N, solve the equation: 2 3 1 - -

A: Given that, x,y,z∈ℕ and the given equation is: 1x+2y-3z=1

Q: Use undetermined coefficients to find the particular solution to y''−4y=2e^−3t

A: Use undetermined coefficients to find the particular solution toy''−4y=2e^−3t

Q: Find the general solution of the following equation valid near the origin: (1+4x2)y" - 8y=0

A: We have to solve given problem:

Q: Solve the following equations  by the method of undeterminedcoefficients. y" - 3y' - 10y = -3

A: The given differential equation is y''-3y'-10y=-3. The auxiliary equation of homogenous part of the…

Q: Solve the equations 3x+y+2z=3;2x-3y-z=-3;x+2y+z=4 Using gauss eliminating method

A: Solve the equations 3x+y+2z=3;2x-3y-z=-3;x+2y+z=4 Using gauss eliminating method

Q: 5. Find a particular solution to the equation -2x y" + 4y' + 4y = xe¯

A:

Q: Solve the following equation using implicit differentation.  x4 +4x3y2 - y4 = 1

A:

Q: If the solution of y' = 2(2x - y) passes through the point (0,1), determine x when y = 7.

A:

Q: Solve the Cauchy euler equation 3x2+ 6x-6y = 3 + Inx d²y + 6x2-6y = 3 + lnx³ dx3

A: In the given question we have to solve the given Cauchy Euler equation. Method: the Cauchy Euler…

Q: dy y/5y² – 3

A:

Q: Solve the equations Using gauss eliminating method 3x + y +2z = 3; %3D 2x – 3y – z =-3; x + 2y + z =…

A: Given: 3x+y+2z=32x−3y−z=−3x+2y+z=4

Q: solve using the appropriate method.xy = 2y + x − 1, y (3/2) = 9

A: We have a function in two variable (x,y)  and a value at particular x. we can separate y and x both…

Q: 8. Find the solution of the equation 1 z =- (p² +q°) + (p– x) (q – y) 2 which passes through the…

A:

Q: 3y = 3xy' + y'3

A: Solution: Here 3y=3xy'+y'3 Divide both sides by 3 y=xy'+13y'3   ......(1) Let dydx=P Then from…

Q: 1). y" + 3y = 18x², y(0) = −3, y'(0) = 0

A:

Q: Show that the equation 3x+4y+5z=a, 4x+5y+6z=b and 5x+6y+7z=0 do not have a solution unless a+c=2b

A:

Q: Consider the linear equation 3(x+1) = 3x + 3 Is x = -3 a solution to this linear equation?

A: Given data,                   3  x + 1  = 3 x + 3

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS.  (1−x)y′= ?2

A: (1 - x)y' = 2 y' = 2/(1 - x) dy/dx = [2/(1 - x)] dy = [2/(1 - x)] dx Integrating : y = 2 ln(1 - x) +…

Q: Solve the Coout's 2n, toX t X3 = -3n, +4%2 -2nz lineas method. uquation by ニー3 %3D 6. 1)

A:

Q: Find the general solution of the different ial equation where y = æ2 is a particular solution (1 –…

A:

Q: 1. (1-х)у' %3D у?

A:

Q: Solve (1-x³) y' -2(1+x) y = y5/2 Bernouilli

A:

Q: Find the solution to the Bernoulli Equation. 2x³y = y(y²+3x²)

A:

Q: Obtain the second solution of the given equation. (1–2x-x*) y"+2(1+x) y'-2 y=0; where y,=x+1

A:

Q: Use the method of separation of variables to solve 2.xyU, +2U¸ =0, U(x,0) = 3e4**

A:

Q: Find the general solution of the following equation valid near the origin: (1+4x2)y''-8y=0

A:

Q: Consider the linear equation: 3(x+1) = 3x + 3 Is x = -3 a solution to this linear equation?

A: Given equation is, 3(x+1) = 3x + 3

Q: Use an appropriate substitution to solve the equation 9. and find the solution that satisfies y(1) =…

A:

Q: Show that the equation 2/x– 1– Vx = 3 has a solution.

A: Equation is 2x-1-x3=3

Q: Use an appropriate substitution to solve the equation y --y y4 and find the solution that satisfies…

A:

Q: Solve the IVP by substitution. (3x2 - 2y2)y' = 2xy;  y(0) = -1

A: Substitute  x = vy and than solve using method of separation of variables.

Q: Find the general solution of the equation satisfying the two given conditions. 4t2x" + 8tx' + 5x =…

A: Topic: differential equation

Q: Solve the general solution y' + (cotx)y = XCSCX

A: Given:- y'+(cot(x))y=x csc(x) To find:- General solution of given differential equation

Q: Solve the equations by Gaussian elimination: 4x + 6y – 2z = 8 6x + 9y – 3z = 12 -2x - 3y + z = -4

A: Solution using Gaussian elimination is given below

Q: Solve the simultaneous equations y = x + 6 and y = 2x² algebraically and show the result…

A: First equation represents a straight line and second equation represents a parabola symmetric about…

Q: Solve by the substitution method. 2х — 5y %3D 8 x = 4y + 4 (х, у) %3

A: We have to find value of x and y by substitution.

Q: Solve for the particular solution, yp- y" - 6y' + 9y = 6x +2– 12e* y(1) = 0; y'(1) = -1

A:

Q: (16x² − 16 x + 4)D²y = 4x² − 4x + 4

A:

Q: Solve of the following equation 4 y' +y = x³y2 Given by

A:

Q: Find the general solution of y"+25y=sec(5x)

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.