he solution to the equation depends on the constant a.  Assuming a is positive, what is the effect of increasing   a on the value of the solution? Does it increase, decrease, or remain unchanged?   a⁢x=a     The value of the solution increases.   The value of the solution decreases.   The value of the solution remains unchanged.

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Q: (a) Solve the single linear equation 0.00021x 1 for x. %3D (b) Suppose your calculator can carry…

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Q: Find the general solution of the given equation.

A: Here we have to find out general solution.

Q: 4. Use the method of variation of parameters to find the general solution of the equation

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Q: Solve the initial value problem?

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A: Let us consider the system of homogenous system of equation AX=0 The Solution of system has Zero…

Q: use the two phase method to solve the lp MAX -  4x1  +  x2 - 2x3 st --    2x1 + 2x2 + x3 = 4 x 1+…

A: We can solve this using two phase method

Q: Solve dy りー1 り1-)ニ。 ニ ス+3

A: We have to solve  dy/dx=(y-1)/(x+3),.  y(-1)=0.

Q: 2.

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

Q: 3. Solve the DE: Y'=e2x+ 3y.

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Q: 1+.

A: Given: y'=3x2(1+y)2

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Q: S: - V dx 2x - √x + 4 VX

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Q: Solve step by step in digital fe 6x - 1 a) lím x→ 1/ 2x - 6 b) lím X-00 x² - 9

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Q: Use variation of parameters to solve : (12) Q.4 [1 8 X':

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Q: 3- Solve D.E: * (Y +y = x* y") 3- By Bernoulli equation solve

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find the general solution of the homogenous equation y2dy = x(xdy-ydx)ex/y Please show the…

A: Concept: A first order homogeneous equation has the standard form dxdy=Fxy. The substitution rule is…

Q: A bacteria has an initial population of 500 and is doubling every hour. The bacteria reaches a…

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Q: Solve the given equation for x. - 5x e - 2x + x2 e - 2x = 0

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Q: Find the auxiliary equation with constant coefficients satisfied by  e^2x , e^-x , e^3x , e^5x

A: Let's find.

Q: Solve dy りー1 り(-)ニ。 ニ ス+3

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Q: The number of cells in a bacterial culture increases rapidly but then levels off. The amount is…

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

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

Q: If (x,4) is equidistant from (5,2) and (3,4), solve for the value of x

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Q: y' – 5y = x²e* – xe5x |

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: Find a general solution of each of the following equations.

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

A: Topic: differential equation

Q: Find f by solving the initial value problem. f'(x) = 9x^2 - 4x, f(3)=72 f(x)=?

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Q: 2xy y' + 2x² x' = y² x'

A: Given: 2xyy' + 2x3x' = y2x' ⇒2xydy + 2x3dx = y2dx ⇒2xydy- y2dx=- 2x3dx

Q: Solve the following (c)22x +2x −12=0 d) ln3−lnx−ln(x+5)=0

A: Given, (c) 22x +2x −12=0 (d) ln3−lnx−ln(x+5)=0  We have to solve the equations.

Q: 10. a² 16 = 32 -

A: We can solve question no 10 as below.

Q: dy x+y = -x3

A: this is linear differential equation

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Q: 100x + 50y + 50z = 10,500 10x + 100y = 1,500 200x + 50y + 150z = 25,500 solve for each variable

A: Given system of linear equations are 100x+50y+50z=10,500   ⇒eq(1)  10x+100y=1,500…

Q: Solve equations: ex+ 12 (B) 1n (x+3) +1n (x-3)= In(3x+1) 2x A) e*- 3e*

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Q: Use variation of parameters to solve y'' - 7y' +10y= e^2x.

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Q: A chemist has three solutions that contain a 10%,30%, and 50%, respectively, of a certain acid. He…

A: Let the solution having 10% acid is taken x liters , solution having 30% acid is taken y liters and…

Q: Find the general solution to 1 y' +

A: We have to find the general solution of y'+yx=1x4y34 .

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.