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Type in any integral to get the solution, free steps and graph This website uses cookies to ensure you get the best experience. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history Multiply together to get 4 Since 1 and 4 add up to 5 and multiply together to get 4, we can factor it like: (x+1) (x+4) Step 3: Find the integrating factor. We have two cases: 3.1 If the expression is a function of x only. Then an integrating factor is given by ; 3.2 If the expression is a function of y only, then an integrating factor is given by Step 4: Multiply the old equation by u, and, if you can, check that you have a new equation which is exact. Differential Equation Calculator is a free online tool that displays the derivative of the given function.

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y'+\frac {4} {x}y=x^3y^2, y (2)=-1. laplace\:y^ {\prime}+2y=12\sin (2t),y (0)=5. bernoulli\:\frac {dr} {dθ}=\frac {r^2} {θ} ordinary-differential-equation-calculator. tions using the integrating factor method may be broken down into the following steps. 1. Write the differential equation in the standard form: dy dx + a(x)y= b(x).
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Now use the integrating factor, you set it to e to the power of the integral of what is in front of the “y” term in the ODE above. μ ( x) = e ∫ 3 x d x.

Express your answer as an explicit function of x. 1.
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Related Calculators. Limit calculator. Derivative calculator. Was this calculator helpful? Yes: No: 213 203 488 solved problems. About the Author.