Using modified Euler's method; Find the value of y where x=1 with h=0.25 from the following equation. dy у-х %3D dx y +x with y=0

Q: Obtain the general solution por the di fferential equation %3D .(yd -x² )dy= 2xy dx %3D

A: Given; 1) y'=(x-y)/y. 2) (y2-x2)dy=2xydx.

Q: Find the value of V®dx 0.

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Q: dy (2y – 3x)?, y(0) = 0. dx Consider the IVP

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Q: Find the particular solution of y (1+2 In?2) dx + xdy = 0 y(e) = e.

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Q: Given - dx y? -and and y(1) 1. Let h=0.2 Find an approximated value of "y" corresponding to x-1.6,…

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Q: Solving for the dy/dx of the function below lea 5 y = 1- sin?

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Q: Find the general solution of dy + y cot(x) = 6 csc'(x). dx

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Q: dy xev-x*); y(0) = 0 %3D dx

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Q: dy = x and find the particular solution when y(0) = dx Solve y? %3D

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Q: /x[cosh?( 2x²) – sinh²(2x²) ]dx is equal to (A) x?dx B) None © Sar dx (D 4 xdx E xdx

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Q: x[cosh?(2x2) – sinh²(2x²) ]dx is equal to A) x?dx B None xdx D dx (E) 4 xdx

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Q: For the equation, find dy/dx evaluated at the given values. y2 = 6x − 5  at  x = 1, y = −1…

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Q: For what value of c does dx 1? 10 X

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Q: For the equation, find dy/dx evaluated at the given values. (3)^ √ x  +  (3)^ √ y  = 2

A: Consider the given equation 3x+3y=2 Differentiate the above equation with respect to x,…

Q: Solve the following equation using Bernoulli D.E. b. Alternative method dy + 2 = y? dx 4.

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Q: I'Y (x) dx (x- 1)A =1+1+?. WINC

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Q: A drag racer accelerates at a(t) = 66 ft/s2. Assume that v(0) = 0 and s(0) = 0. d. How long will it…

A: Given:- A drag racer accelerates at a(t) = 66 ft/s2 Assume that v(0) = 0 and s(0) = 0 To find:-   d.…

Q: Find the values of a and b that make following D. E is exact ( - 4) dx + (xyo + 1) dy = 0 x2+2

A: Remark: A differential equation of the form M(x,y) dx + N(x,y) dy = 0 is exact if and only if dM/dy…

Q: 15 determine the value of the constant p where p> 0. (b) Given dx %3D

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Q: Find the particular solution to DE:   ( y + square root of x^2 + ?^2 ) dx - xdy = 0 ; y ( √3 ) = 1

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Q: H.W solve by picard method (up to third approtination) c =X+y² y (0)=0 Find y (0-1)? dx aus/ "Y3…

A: Picard Iteration method :  yn(x)=y0+∫0xf[t,yn−1(t)]dt here we have f[x, y]=x+y2

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

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Q: L V9 – x² dx

A: Given,          ∫039-x2dx

Q: For the equation, find dy/dx evaluated at the given values. y2 − x3 = 1  at  x = 2, y = 3   dy dx

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Q: A. Solve the following equation using integrating factors found by inspection. 5. x(x? - y? - x)dx –…

A: Given differential equation is: x(x2-y2-x)dx-y(x2-y2)dy=0 To solve the equation using integrating…

Q: dx x-y dy dx (Separation of variable) %3D dy

A: To find :- General solution of given differential equation Given :-

Q: Given that 1 -dx + dr = ln a, find the exact value of a. V16+9x² V9+4x* 1.

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Q: For the equation, find dy/dx evaluated at the given values. y2 − x3 = 1  at  x = 2, y = 3   dy dx =

A: The given equation is y2-x3=1.

Q: For the equation, find  dy/dx  evaluated at the given values. y2 = 2x − 13  at  x = 7, y = −1 dy…

A: Given: y2 = 2x - 13  at x = 7, y = -1   To Find: dydx

Q: Solve the given IVP. x²° = y² + xy y(1) = 1 %3D dx Hint: Use substitution to change the equation to…

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

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Q: Given fe""dx = --e"3* Given [el-2)dx =--e"-2*) +c. Su;

A: Taking substirution method we have

Q: Q5) show that the following equation is exact and solve it. ylnx?dy +dx - = 1 xlny?dx +dy

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Q: or the equation, find dy/dx evaluated at the given values. y2 = 8x − 7  at  x = 1, y = −1   dy dx=…

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Q: We know that y dy? arctan (e*+1) so whats the value for dx 1 a) e2a+2 +1 1 Ob) els+1)* +1 Need This…

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Q: 2. (2ху — Зх?) dx + (x? + у) dy 3D 0

A: The differential equation is (2xy-3x2)dx+(x2+y)dy=0. Let P=2xy-3x2 and Q=x2+y. To know whether a…

Q: 2. S x?e dx = Note: no decimal answers are allowed and please show your work.

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Q: If: y3 ax°+ bx? + bx? ca + x? ---- find the value of dy dx for a= 8, b = 6, c = 4, x = 7.23 Give…

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Q: (х5 + Зу) dx — х dуy %3D 0

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: eт 3 cot (In x) dx 30. х e/4

A: Integrate the function:

Q: (ei-e) dx +x cosh udu = 0 when x = 0; u = 0 1. %3D

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Q: For which value of a the equation SSS dy dx dz 1 2 does hold? O a. 0 Ob.1 O.-1 O d. 2

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Q: d’y dx? Find the general solution for +10 -+25y = 0. dx

A: For the second order homogeneous differential equations of the form ad2ydx2+bdydx+cy=0 , the general…

Q: Given that 1 -dr+ 1 - dx = ln a, find the exact value of a. V16+9x? V9+4x?

A: given: ∫01116+9x2dx+∫0219+4x2dx=lna we have to find the exact value of a.

Q: 10. Given that y = at x = 1. e* X + 1 Find, in terms of e, the values of . 최 and dx dx²

A: (10). Given: y=exx+1   As we know that; The Power law; ddxxn=nxn-1 The Quotient rule;…

Q: (х5 + Зу) dx — х dy 3D 0

A: Given :                          x5+3ydx - x dy = 0Divide both sides by1x dx   1x dx x5+3ydx - x dy…

Q: 1.5 2 2.5 3. 5 f (x) 12. 0355 18. 0022 22. 4523 32. 3452 69.0998

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