Solve the linear D.E dy + y=x dx Paragraph

Q: What is the value of e*dx? Select one: O a. 1 O b. 2 O c. The integral diverges. O d. e 8

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Q: Solve this completely to answer several questions. dy 4y Consider the equation dx = x. What is the…

A: Given that, Differential equation is following, dydx+4yx=x We have to find the general solution of…

Q: This equation is an example for linear equations dy y = x²e* %3D dx False True

A: We have to find if the given statement is true or not.

Q: By using completing the square / dx can be written a V4 + 2x + x² dx 3 + (r+2)? dr 5+ (r+1)² dx V3 +…

A: Given that: ∫x4+2x+x2dx

Q: The value of e dx x ex dx is ans. 1C 4V2 none of these

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Q: dx If |h(0) de, then h(e) d0 : (4+x²)³

A: Given, ∫dx4+x23=∫hθ dθ

Q: Solve the linear D.E dy = (e-X sec2x - y)dx

A: Given: dy=e-xsec2x-ydx ⇒dydx=e-xsec2x-y⇒dydx+y=e-xsec2x which is linear differential equation of the…

Q: dx I = . C. (b+аx)2 1 + (x-a)k] 1 d. I = dx [x-a

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Q: Determine equuation is escact.if it is then Solve it whether the given 3) dx=(223y+4)dy जिचट)

A: Consider the given equation. 2xy2-3dx=2x2y+4dy Further, simplify. 2xy2-3dx-2x2y+4dy=0 The general…

Q: If x = u?(u? - 1)2 and y = (3u2- 1)2, then what is the value of dy/dx? A none of the given choices 3…

A: I am attaching image so that you understand each and every step.

Q: Exercise:solve the following different D(x+ ye)dx - xe dy = 0. %3D

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Q: Solve (5x+3e")dx +2xe' dy = 0 %3D

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Q: d?y Example: Solve the D.E. + 2 dx2 dy + 2y = 0 dx

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Q: A 9. The exact value of [2 e2* dx is

A: Find your answer below

Q: Solve the order linear equation, dy dy 1 +-y=x, y(1) =5 dx x + p(x)y=r(x) dx x 14 + Solution: y= 3…

A: The initial condition in an initial value problem is used to determine the integration constant that…

Q: d3y chea + 2 d24 + due a dy de = 0

A: Let us consider a differential equation with linear coefficient is obtained as…

Q: Find the value the constant a that makes the equation ay?dx + (a + 2)xdy = 0 is an exact.

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Q: Consider the equation, test whether it is exact and solve the IVP.        x(x-y)dy = y(y-3x)dx…

A: Solution:  Step I:    xx-y dy =yy-3xdx     y-1=1 Now,    xx-y dy=yy-3x  dx    dydx=yy-3xxx-y  Let…

Q: Using Monte Carlo, estimate the value of e*y dx dy. 0.

A: Given that, ∫01∫01exydxdy By the monte carlo formula, ∫01∫01exydxdy=∫01exyy01dy=∫01eyy-1ydy

Q: (In x)2 e. d. *dx p, 2x

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Q: The degree of the differential eqution 3 dx dy2 а. 6 b. 3 С. 1 d. 2

A: Explanation of the solution is given below...

Q: How To Solve It? Which Method? dy/dx-dx/dy= x/y- y/x

A: ∫(1/y) dy  =log y +c ∫ (1/x)dx = log x +c  ∫  ydy  =(y2)/2   +c  ∫ xdx   = (x2)/2   +c log(a)+log (b…

Q: dx = In|x - e* + C

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Q: constant coefficient? Oa. d³y d²y dy dr dæ³ dz² b. O b. 3 d³y dy dz³ dx² dr 0 = du

A: To Check: Which option can be reduced to homogenuous linear differential equation with constant…

Q: 23 x e + constant, then B A If 23 x 21 хе dx (Ах — В) %3D

A: The solution are next step...

Q: (x + 1) dx (x+2)(x-1)² 15 S= = √ [ +42 A B + x + 2 x-1 C + + (x-1)2]dx. dx, the values of A & C…

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Q: olve the diffrential equation.(pls step bu step and clearly) (d/dx+2x)(dy/dx+2xy)=2e^(-x^2)

A: (d/dx+2x)(dy/dx+2xy)=2e^(-x^2)

Q: e" dx 7.3. J- 1-e 2x

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Q: x =. السؤال الاول: جد باستخدام التحويل rcos(0)= , )0)rsiny = = التكامل e-(7x²+3y*) dxdy

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Q: Pollowing D.E iiing (x') dy+ (2xy +) dx Solve the

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Q: ·S A B If D A (x+2)(x-1)² = √2 + x + 1 2 9 3 9 -la 1 I 2 93 1 9 2 9 3 . 2|3 B x-1 + C (x-1)2 (x -…

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Q: 2 /a +x? +Va? - If y = Ja? +x? Ja? -x - va Show that 2. a? 2a? 1+ Ja* – Va* –x* 3 dy dx

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Q: If x = u?(u? – 1)² and y = (3u2 – 1)², then what is the value of dy/dx? A) None of the choices (B) В…

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Q: What is the value of a so that In (e") dx = 6? a A.) 0 B.) 1 C.) 2 D.) 3

A: Solve it by using logarithms rules.

Q: *=and y(e) = -2 Find y(e³) dx

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Q: 23. (x? + а?) dy — 2x[(x2 + а?)2 + Зу] dx;a is constant. ANS. у 3D (x? + а?)}?(c(x? + а?) — 1].

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Q: dP Consider an animal population P(t) that is modeled by the equation, = 0.0004P(P – 150) dt %3D…

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Q: у dx + (у өу-ху-2 х) dy

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Q: (x + 1) dx A (x + 2) (x− 1)² = √ [ +42 + 15 S B + x-1 C (x-1)² dx, the values of A & C respectively…

A: answer is in next step . please give a like !!!

Q: Find the value of /xуе*-у dxdy а) ye (хex-еx ) b) (yev-er)(xe-e:) с) (ye-e )xe* d) (yev-ey )(хех+ex)

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Q: QUiz - FINALS Solve the ff. DE, and provide what i acked. COMPLETE SOLUTION. CAWS ho pointr. SHOW…

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Q: 10

A: We have to find the derivative of ax It is given that a∈ℝ, where a≠1 and a>0

Q: Example:- Solve the equation Н. W. (3y + e*)dx + (3x + cos(y))dy = 0 dy 2) 1+y? +3x2y 1-2ху-х3 1) dx…

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Q: a? +b 7. Find dx where a, b are constants b- ar

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Q: (x + 1) | Tr+3 (c) Evaluate dx using the substitution of u = x + 3.

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Q: If f (x) = = |e*dx and f (0) =2, then what is f (2)? A) e+2 B В e2+1 e2 D e2-1 E) None

A: Explanation of the answer is as follows

Q: QI/ : If . Find dy y = 2v3 +- v = (3x +2)/3 , dx

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Q: (e* –1) -dx (e +1) vel

A: The given integral is ∫ex−1ex+1dx. The formulas for indefinite integral are ∫1xdx=lnx+c and…

Q: If f (x) = | e*dx and f (0) =2, then what is f (2)? e2+ 1 В e2 e +2 D e2 - 1 None

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Q: dy Solve: (e +e-²)- = y? (separation of variables) dx

A: We want to solve the given differential equation.

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.