dy +3 dy -4 y=e* . dx dy Problem 8/ Knowing that at x=0, y32 and dx find the specific solution of dx?

Q: Find the general solution for (y + 1) dx + (4x - y)dy = 0

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Q: . solve for y(3) at h =1.5, given y(0)=5 using heun’s equation and euler’s method dy dx = 3e −x −…

A: Heun's method: Heun's method also known as Euler's modified method. It works in following steps. 1.…

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: 1. Test for exactness and find the particular solution of dx + + dy = 0 (1 – xy)? (1 – xy)² |

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution is: ∫Mdx⏟Take…

Q: dx 3: 5Y +3, X-3s15+1 dy dx r+ atr3 i s l du 3Y dv

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Q: Obtain the particular solution of the DE: 4(3x + y – 2) dx – (3x + y) dy = 0; when x = 1, y = 0…

A: Gg

Q: 15. Solve d²y +3 y + 2y = 3 sin x, given that when x 0, y =-0-9 Wor, OFer dx? dx dy =-0-7. dx and…

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Q: dy Determine the general solution of = 1+ 3y tanx. dx

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Q: ) Obtain the particular solution of (2x-3y+4)dx+3(x–1)dy =0; when x =-1, y = 2 O Find the general…

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Q: I. FIND THE GENERAL SOLUTION OF THE FOI dy dy = xy + 3x - 3x dx 1. dx

A: As per our guidelines we are supposed to answer only one question

Q: dy (=)y = x* sin x. dx

A: Linear differential equation

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

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Q: I. Bernoulli's Equation 1. 2ydx + x(x² In y-1)dy = 0

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Q: dy = 4sin( 2x) and y=2 when *x= dx Suppose What is the particular solution to the given differential…

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Q: If y = f(x) is the solution of (-x – 9)dx + (x2 + 10x + 41)dy = 0, f(0) = }In(41) +arctan(5/4), then

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Q: dy y- dx ay

A: on solving this we get the

Q: Find dy/dxin terms of x and y if (x−a)^4+y^4=a^4. Assume that a is a constant. dy/dx=   implicit…

A: (x−a)4 +y4 =a4 a is a constant. dy/dx = ?

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

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Q: dy -X+Y

A: The solution to a linear differential equation of the form dydx+Py=Q, where P and Q are functions of…

Q: y_x + y х х — 1 dx

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Q: Use a suitable method  to find the solution of (1-x^2)(1-y)dx=xy(1+y)dy

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Q: Show that if you differentiate both sides of x 2 + 2y 3 = 6, the result is 2x + 6y2 (dy/dx)= 0. Then…

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Q: dy %3D 1 + x + and f(0) = 1, find the particular solution to the differential equation. - dx

A: Given,           dydx=1+x+x22 and f(0)=1

Q: Reducible to Exact (y3+2exy)dx+(ex+3y2)dy=0

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Q: Find out all the curves passing through (0,-1) satisfying the dy 1( dy dx 4 dx differential…

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Q: 5. Find the particular solution (IVP) for the DE below: a) dx +2 =8x when x = 2, y = 6 b) 3y2 = 2x +…

A: Use variable separable method

Q: I. Find the general solution of the following: dy 2x 1.- dx y dy 2. xy dx 3. dy = (6e3x+ 1)dx

A: We have to find the general solution.     According to our guidelines we can do only one question so…

Q: 8/ (e* sin y +3y)dx -(3x-e* sin y)dy = 0

A: Given thta  The differential equation

Q: What is the solution of the equation dey/dx=y/x+tany/x

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Q: Find the general solution of: dx+(1+x^2)cotydy=0

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Q: 4. Obtain the general solution of x? y dy dx

A: By Bartleby policy I have to solve only first one as these are all unrelated problems

Q: The differential equation (3ycosx+ 4.xe* +2x'e" dx+ 3(sin x+1)dy 0 is exact because OM ON Ox

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Q: 1. Obtain the particular solution when x = 1 and y = 1 5) dx 3 + y 3 dy = 0 y

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Q: Uygulamays bit d'y E+2y= e +2- General solution of %3D dx dx cos x differential equation

A: The differential equation is given as  d2ydx2+2dydx+2y = e-xcos x Corresponding homogeneous…

Q: y(1-x^2) dy/dx=x(1+y^2) solution of first order Deferential Equation

A: We have to find solution of y(1-x2)dydx=x(1+y2)

Q: Use a technique of integration or a substitution to find an explicit solution of the given…

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Q: dy 4. Find at (- 2,0), if 3x² +2x²y² +sin y=12+2y. dx

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: dr2 dx dx d²y, 7 dy , 9y 3. dr2 dy =1 at x = 1. dx = 0; y = 0 and x dx x2 4. Use the method of…

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Q: ædy – y(1+ In y – In æ)dx = 0

A: The given differential equation  is changed to  the variable separable form by using the…

Q: 3 sin y 2. Find the particular solution of xsin² y cos yy' +. 1+ ln x =4 ¡y(e) = 1/

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Q: Solve = 1 +y, y(0) = 0 by Picard's method. %3D dx

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Q: 01 ation. Solve (1-x²)x+m²y=0 dx where x = 0, y=0, dy- dx

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Q: 11. (e* sin y – 3x²)dx + ( e* cos y+ |dy = 0 12. (2x + 1+x?y? ) dx +( -29) dy = 4 - 29) dy = 0…

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Q: dy Find y(0-2) by using Euler's method for y=1 for x= 0. log10 (x+y) with initial condition %3D dx

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Q: (b) 6x Cos dx. (Hint: you might need to use integration by parts several times.

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Q: 3) I Cos dydx Ins Iny 4) S S e** dxdy X 1 0

A: 3)  Given:      ∫π2π∫0x21xcosyxdydx       =∫π2π∫0x21xcosyxdydx

Q: "ind general solution for dy dy + 3 + 2y = -20 sin 2t, y (0) = 2, y' (0) = 1. dt2 dt

A: Ode

Q: Find the general solution to: dy d dx dy 1 dy Cos x + sin 2x dx x + 4 dx

A: d). Given differential equation is dydx=cosx+sin2x. Re-writing the given differential equation.…

Q: Test for exactness and find the complete solution of dx + [ In 2(x-1) + dy = 0 х-1

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.