Eulers method- dy -u メーツ dx X+4 y(6)=1

Q: sec2 x dx sec2 x – 1 f.

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Q: at Solve thie équation use Eulers methoc- ds -t X-ツ dx x+y y(6)%=1

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Q: Obtain the general solution using separation of variables ye 2x dx = (4 + e2x)dy

A: The given differential equation is y e2x dx=4+e2xdy Solving the differential equation by converting…

Q: Solve dy dx =-y with y(0) = 1. Find y(0-01), y(0-02) by Runge-Kutta method.

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Q: Solve using integrating factor by inspection: (x^3+xy^2-y)dx+(y^3+x^2y+x)dy=0

A: Solve using integrating factor by inspection: (x^3+xy^2-y)dx+(y^3+x^2y+x)dy=0

Q: Solve using separation of variables: xy2 dx + e* dy = 0; when x -> infinite, y -> 1/2.

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Q: x*cos(y/x)*dy/dx = y*cos(y/x)-x   find solution of that differantial equation.

A: Let us consider the differential equation of the form dydx=fyx  then to solve the differential…

Q: Knowing that at x-0, y-2 and =0 , find the specific solution of Y+3-4y=e" dx dx² dx

A: The given differential equation is,d2ydx2+3dydx-4y=ex

Q: Q3\ using Euler method, find an approximate value of y corresponding to x€ [0 -0.7], Given = x(x +…

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Q: (ve-2x + y²) dx - e-2x dy = 0 6. (ye

A: We need to identify the given first order differential equation as homogeneous, Bernoulli, linear…

Q: How do I solve this using trig substitution? Integral dx /(1 + 4x^2)^3/2

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Q: 2 1. Evaluate 8x" dx by the Gaussian quadrature method. 7

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Q: 04 (test for exactness) (2xsinycosy - x+2x?evx* )dy =(y-sin?y -4xyex )dx 04 (solve de) (2xsinycosy -…

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Q: Integrating Factor Method dy 1. dx 2у 3x3

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Q: What is the general solution of =? %3D dx y2+1 What is the general solution of (y + 1) = 2x? %3D…

A: (As per bartleby guidelines, for questions containing multiple subparts, only three subparts will be…

Q: Equation is homogeneous ? (y²-2xy) dx=(x²-2xy) dy True / False ?

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Q: S2x²e** ax=uv- Jvau -Svau. Sfoxe". Using Integration By Parts, Find uv- Jv du- 3 x² e dx O 2 x3 x3…

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Q: General solution using Bernoulli method. 1.) x^2 y dx + (1+x^3) dy = 0 2.) u^2 v du - (u^3 + v^3)…

A: A detailed solution is given below.

Q: Find the general solution for (3/y-6/x)dx - (3x/y^2 - 7/y)dy

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Q: Find the general solution of dx -3 y=2cos3x . dx

A: The given differential equation is. d2ydx2+2dydx-3y =2cos3x This can be written as, D2+2D-3y=2cos3x…

Q: dx² +2dy - 5y = 2x²-3x+1 dx

A: Given differential equation is d2ydx2+2dydx-5y=2x2-3x+1 So, the auxiliary equation is…

Q: 3. Solve (x+y-1)dy = (x-y-3)dx

A: Given that(x+y-1)dy=(x-y-3)dxTo find solvesolution (x+y-1)dy=(x-y-3)dxdydx=x-y-3x+y-1Now x=x'+h and…

Q: Finding a General Solution Using Separation of Variables. dy/dx= (x-1)/y3

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Q: using homogeneous d.e approach, solve (x^3-3xy^2)dx= (y^3-3x^2y)dy

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Q: 6. General solution is y = x² In x + Ca² , EXERCISE 6. dy 2y = x? dx

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Q: 90% of it Suppose dy/dx = x-y and y = 2 when x 1, Use Euler's Method with increments of Ar = -0.1…

A: Given the differential      dydx=x-y with y(1)=2. Find y(0) using Euler's method with step size…

Q: 4. Using homogenous D.E approach, solve (x³ – 3xy?)dx = (y3 – 3x²y)dy.

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Q: Exact method 1- (6x2 + 4xy +y²)dx + (2x² + 2xy-3y2)dy = 0

A: Exact differential equation

Q: Calculate dy/dx. You need not expand your answer. y =x2.3/9+2/x2.3)(9x − 1) Answer ----->dy/dx:…

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Q: 1. (12 –2ry+6x)cdx- (r² -2xy+ 2)dv= 0 |

A: First check exactness then solve

Q: General solution using Exact method. x^2 y dx + (1 + x^3) dy = 0

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Q: -4x+2 Integrate f6 dx with respect to x using the substitution method. (-2x2+2a-2) COMPLETE THIS IN…

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Q: (12z – 12z2 + 71z – 77 Integrate: 4x2 + 25 - la( |42° + 25|) – arctan X + C

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Q: dx - My- dy -5+e

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Q: 17. Using Runge-Kutta method of fourth order, solve dy y2-x2 dx y2 + x2 | with y(0) = 1, at x = 02…

A: Numerical methods: Ruge-kutta method

Q: Advanced Math dy/dx=sin(x)+1 using euler method h=0.01 y(0)=1 y(1)=?

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Q: 3. Obtain the Particular Solution when x = 4 and y = 1 (x+ y - 4)dx - (3x- y – 4)dy = 0 %3D

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Q: y (x 2 + y 2 – 1) dx + x (x 2 + y 2 + 1) dy = 0

A: First find integration factor then solve Using formula

Q: solve (3-2) dx Ex Solve 3xý = zy (y-3) Ex6 + (3x-4) dy =0 %3D

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: Transforming - Ⓒ S 1 = ²2²1dz 1+z² ℗ B / 1 + 2/2 d -dz 1-z² Ⓒ *2-2z² 1+z² (A) dx secx + C-²₁- -dz…

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Q: Solve: (e-y + 1)-2e*dx + (e-* +1)-?e"dy = 0 %3D

A: The exponential rule of integration states that ∫exdx=ex+c  and ∫e-xdx=-e-x+c.

Q: 9. use "Bernoulli's Equation" method (ye-+y)dx-e-dy 0

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Q: Q3\ using Euler method, find an approximate value of y corresponding to X€ [0 -0.7], Given = x(x +…

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Q: Geberal solution of (3xy +3y - 4)dx+(x+1)²dy

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Q: +5y = sin x, y(0.3)=5 and using a step size of h = 0.3, Approximate the value of y(0.9) dx 2. %3D…

A: Given 3dydx+5y2 = sinx with y(0.3) = 5, h = 0.3

Q: dy Use first approximate Picard's method to solve- dx +3y, y(0)=2. .a +6x+ 2 2 .b None of these .c +…

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Q: 3.2.2 Test for exactness then solve. y(2xy2 − 3)dx

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Q: Using integrating factor, solve dy/dx + 4/x . y = x

A: topic. - differential equations

Q: dx 4. S x²Vx2-9

A: 4). Given: I=∫dxx2x2-9   ....(1)   As we know from the trigonometric identities; 1). cosx=1secx 2).…

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.