WebNov 15, 2016 · y = -ln(-e^x + C) , or ln(1/(C-e^x)) dy/dx = e^(x+y) :. dy/dx = e^xe^y So we can identify this as a First Order Separable Differential Equation. We can therefore "separate the variables" to give: int 1/e^y dy = int e^x dx :. int e^-y dy = int e^x dx Integrating gives us: -e^-y = e^x + C' :. e^-y = -e^x + C :. -y = ln(-e^x + C) :. y = -ln(C-e^x) , or ln(1/(C-e^x)) WebThe solution of y 5 x + y − x d x d y = 0 is. Hard. View solution > The solution of the differential equation x 2 d y + y (x + y) d x = 0 is: Hard. View solution > View more. CLASSES AND TRENDING CHAPTER. class 5. The Fish Tale Across the Wall Tenths and Hundredths Parts and Whole Can you see the Pattern? class 6.
RK fourth order method for a 2nd order differential equation
WebMar 5, 2024 · Given, x(dy/dx)+y log y=xy e^x. divide whole eqn by y: x/ydy/dx+log y=x.e^x . let xlog y=t; x/y dy/dx+logy=dt/dx. replacing in original equation. weget: dt/dx=x.e^x . then dt=x.e^xdx. integrating bothsides: ∫dt=∫x.e^xdx. t=x.e^x−∫e^xdx (Applying by parts intergation ) t =x e^x-e^x+C. t=e^x(x−1)+C. placing value of t, we get, xlogy=e^x ... WebAnswer (1 of 2): (1+y^2)dx+(x-tan^-1y)dy = 0 dx/dy=-x/(1+y^2)+(tan^-1y)/(1+y^2) dx/dy+x/(1+y^2)=(tan^-1y)/(1+y^2) This is Linear Differential equation of the type dx ... high court criminal
Let y=y(x) be the solution of the differential equation $x\\dfrac{{dy ...
Weblet the solution curve y=y(x) of the dirrerential equation dy/dx= 3x^5 tan^-1(x^3)y/(1+x^6) = 2xexp (x^3-tan^-1x^3)/sqrt 1+x^6 pass through the origins. then... WebDec 28, 2024 · Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto … WebSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. how fast can a dna test be done